(x-3)(x-3)-(x+5)(x+5)=0

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Solution for (x-3)(x-3)-(x+5)(x+5)=0 equation: 


Simplifying
(x + -3)(x + -3) + -1(x + 5)(x + 5) = 0

Reorder the terms:
(-3 + x)(x + -3) + -1(x + 5)(x + 5) = 0

Reorder the terms:
(-3 + x)(-3 + x) + -1(x + 5)(x + 5) = 0

Multiply (-3 + x) * (-3 + x)
(-3(-3 + x) + x(-3 + x)) + -1(x + 5)(x + 5) = 0
((-3 * -3 + x * -3) + x(-3 + x)) + -1(x + 5)(x + 5) = 0
((9 + -3x) + x(-3 + x)) + -1(x + 5)(x + 5) = 0
(9 + -3x + (-3 * x + x * x)) + -1(x + 5)(x + 5) = 0
(9 + -3x + (-3x + x2)) + -1(x + 5)(x + 5) = 0

Combine like terms: -3x + -3x = -6x
(9 + -6x + x2) + -1(x + 5)(x + 5) = 0

Reorder the terms:
9 + -6x + x2 + -1(5 + x)(x + 5) = 0

Reorder the terms:
9 + -6x + x2 + -1(5 + x)(5 + x) = 0

Multiply (5 + x) * (5 + x)
9 + -6x + x2 + -1(5(5 + x) + x(5 + x)) = 0
9 + -6x + x2 + -1((5 * 5 + x * 5) + x(5 + x)) = 0
9 + -6x + x2 + -1((25 + 5x) + x(5 + x)) = 0
9 + -6x + x2 + -1(25 + 5x + (5 * x + x * x)) = 0
9 + -6x + x2 + -1(25 + 5x + (5x + x2)) = 0

Combine like terms: 5x + 5x = 10x
9 + -6x + x2 + -1(25 + 10x + x2) = 0
9 + -6x + x2 + (25 * -1 + 10x * -1 + x2 * -1) = 0
9 + -6x + x2 + (-25 + -10x + -1x2) = 0

Reorder the terms:
9 + -25 + -6x + -10x + x2 + -1x2 = 0

Combine like terms: 9 + -25 = -16
-16 + -6x + -10x + x2 + -1x2 = 0

Combine like terms: -6x + -10x = -16x
-16 + -16x + x2 + -1x2 = 0

Combine like terms: x2 + -1x2 = 0
-16 + -16x + 0 = 0
-16 + -16x = 0

Solving
-16 + -16x = 0

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + -16x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -16x = 0 + 16
-16x = 0 + 16

Combine like terms: 0 + 16 = 16
-16x = 16

Divide each side by '-16'.
x = -1

Simplifying
x = -1

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