[(x+5)(x+5)]-[(x-5)(x-5)]=500

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Solution for [(x+5)(x+5)]-[(x-5)(x-5)]=500 equation: 


Simplifying
[(x + 5)(x + 5)] + -1[(x + -5)(x + -5)] = 500

Reorder the terms:
[(5 + x)(x + 5)] + -1[(x + -5)(x + -5)] = 500

Reorder the terms:
[(5 + x)(5 + x)] + -1[(x + -5)(x + -5)] = 500

Multiply (5 + x) * (5 + x)
[(5(5 + x) + x(5 + x))] + -1[(x + -5)(x + -5)] = 500
[((5 * 5 + x * 5) + x(5 + x))] + -1[(x + -5)(x + -5)] = 500
[((25 + 5x) + x(5 + x))] + -1[(x + -5)(x + -5)] = 500
[(25 + 5x + (5 * x + x * x))] + -1[(x + -5)(x + -5)] = 500
[(25 + 5x + (5x + x2))] + -1[(x + -5)(x + -5)] = 500

Combine like terms: 5x + 5x = 10x
[(25 + 10x + x2)] + -1[(x + -5)(x + -5)] = 500
[25 + 10x + x2] + -1[(x + -5)(x + -5)] = 500

Remove brackets around [25 + 10x + x2]
25 + 10x + x2 + -1[(x + -5)(x + -5)] = 500

Reorder the terms:
25 + 10x + x2 + -1[(-5 + x)(x + -5)] = 500

Reorder the terms:
25 + 10x + x2 + -1[(-5 + x)(-5 + x)] = 500

Multiply (-5 + x) * (-5 + x)
25 + 10x + x2 + -1[(-5(-5 + x) + x(-5 + x))] = 500
25 + 10x + x2 + -1[((-5 * -5 + x * -5) + x(-5 + x))] = 500
25 + 10x + x2 + -1[((25 + -5x) + x(-5 + x))] = 500
25 + 10x + x2 + -1[(25 + -5x + (-5 * x + x * x))] = 500
25 + 10x + x2 + -1[(25 + -5x + (-5x + x2))] = 500

Combine like terms: -5x + -5x = -10x
25 + 10x + x2 + -1[(25 + -10x + x2)] = 500
25 + 10x + x2 + [25 * -1 + -10x * -1 + x2 * -1] = 500
25 + 10x + x2 + [-25 + 10x + -1x2] = 500

Reorder the terms:
25 + -25 + 10x + 10x + x2 + -1x2 = 500

Combine like terms: 25 + -25 = 0
0 + 10x + 10x + x2 + -1x2 = 500
10x + 10x + x2 + -1x2 = 500

Combine like terms: 10x + 10x = 20x
20x + x2 + -1x2 = 500

Combine like terms: x2 + -1x2 = 0
20x + 0 = 500
20x = 500

Solving
20x = 500

Solving for variable 'x'.

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

Divide each side by '20'.
x = 25

Simplifying
x = 25

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