### What is the Value of x if (x+x)^2 = (2+2)^2?

This article will discuss the value of x when (x+x)^2 = (2+2)^2. We will look at the equation and explain how to solve it. We will also provide examples and related contexts to help you understand the concept better.

The equation (x+x)^2 = (2+2)^2 can be solved using the quadratic formula, factoring, or the substitution method.

The quadratic formula is a mathematical formula that is used to solve quadratic equations.

Factoring is a method of solving equations by breaking them down into simpler equations.

The substitution method is a method of solving equations by substituting one variable for another.

The value of x when (x+x)^2 = (2+2)^2 is 2.

The equation (x+x)^2 = (2+2)^2 is a simple algebraic equation. It is a quadratic equation, which means that it has two solutions. The equation can be solved by using the quadratic formula. The quadratic formula is a mathematical formula that is used to solve quadratic equations. The formula is: x = [-b ± √(b^2 - 4ac)]/2a. In this equation, a, b, and c are the coefficients of the equation. In this case, a = 1, b = 2, and c = 0. Therefore, the solution to the equation is x = 2.

The equation (x+x)^2 = (2+2)^2 can also be solved by factoring. Factoring is a method of solving equations by breaking them down into simpler equations. In this case, the equation can be factored into (x+2)(x+2) = 0. This equation can then be solved by setting each factor equal to zero and solving for x. The solution is x = -2.

The equation (x+x)^2 = (2+2)^2 can also be solved by using the substitution method. The substitution method is a method of solving equations by substituting one variable for another. In this case, we can substitute x for 2 and solve the equation. The solution is x = 2.

Good to know:

**Quadratic Formula:**A mathematical formula used to solve quadratic equations.**Factoring:**A method of solving equations by breaking them down into simpler equations.**Substitution Method:**A method of solving equations by substituting one variable for another.

In conclusion, the value of x when (x+x)^2 = (2+2)^2 is 2. This equation can be solved using the quadratic formula, factoring, or the substitution method. Each method has its own advantages and disadvantages, so it is important to understand each method before attempting to solve the equation.

The information provided in this article is for educational purposes only. It is not intended to be used as a substitute for professional advice.