(x+2)(x+2)+(x-2)(x-2)=40

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Solution for (x+2)(x+2)+(x-2)(x-2)=40 equation: 


Simplifying
(x + 2)(x + 2) + (x + -2)(x + -2) = 40

Reorder the terms:
(2 + x)(x + 2) + (x + -2)(x + -2) = 40

Reorder the terms:
(2 + x)(2 + x) + (x + -2)(x + -2) = 40

Multiply (2 + x) * (2 + x)
(2(2 + x) + x(2 + x)) + (x + -2)(x + -2) = 40
((2 * 2 + x * 2) + x(2 + x)) + (x + -2)(x + -2) = 40
((4 + 2x) + x(2 + x)) + (x + -2)(x + -2) = 40
(4 + 2x + (2 * x + x * x)) + (x + -2)(x + -2) = 40
(4 + 2x + (2x + x2)) + (x + -2)(x + -2) = 40

Combine like terms: 2x + 2x = 4x
(4 + 4x + x2) + (x + -2)(x + -2) = 40

Reorder the terms:
4 + 4x + x2 + (-2 + x)(x + -2) = 40

Reorder the terms:
4 + 4x + x2 + (-2 + x)(-2 + x) = 40

Multiply (-2 + x) * (-2 + x)
4 + 4x + x2 + (-2(-2 + x) + x(-2 + x)) = 40
4 + 4x + x2 + ((-2 * -2 + x * -2) + x(-2 + x)) = 40
4 + 4x + x2 + ((4 + -2x) + x(-2 + x)) = 40
4 + 4x + x2 + (4 + -2x + (-2 * x + x * x)) = 40
4 + 4x + x2 + (4 + -2x + (-2x + x2)) = 40

Combine like terms: -2x + -2x = -4x
4 + 4x + x2 + (4 + -4x + x2) = 40

Reorder the terms:
4 + 4 + 4x + -4x + x2 + x2 = 40

Combine like terms: 4 + 4 = 8
8 + 4x + -4x + x2 + x2 = 40

Combine like terms: 4x + -4x = 0
8 + 0 + x2 + x2 = 40
8 + x2 + x2 = 40

Combine like terms: x2 + x2 = 2x2
8 + 2x2 = 40

Solving
8 + 2x2 = 40

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + 2x2 = 40 + -8

Combine like terms: 8 + -8 = 0
0 + 2x2 = 40 + -8
2x2 = 40 + -8

Combine like terms: 40 + -8 = 32
2x2 = 32

Divide each side by '2'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}

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