(x-12)(x+12)=25

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Solution for (x-12)(x+12)=25 equation: 


Simplifying
(x + -12)(x + 12) = 25

Reorder the terms:
(-12 + x)(x + 12) = 25

Reorder the terms:
(-12 + x)(12 + x) = 25

Multiply (-12 + x) * (12 + x)
(-12(12 + x) + x(12 + x)) = 25
((12 * -12 + x * -12) + x(12 + x)) = 25
((-144 + -12x) + x(12 + x)) = 25
(-144 + -12x + (12 * x + x * x)) = 25
(-144 + -12x + (12x + x2)) = 25

Combine like terms: -12x + 12x = 0
(-144 + 0 + x2) = 25
(-144 + x2) = 25

Solving
-144 + x2 = 25

Solving for variable 'x'.

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

Add '144' to each side of the equation.
-144 + 144 + x2 = 25 + 144

Combine like terms: -144 + 144 = 0
0 + x2 = 25 + 144
x2 = 25 + 144

Combine like terms: 25 + 144 = 169
x2 = 169

Simplifying
x2 = 169

Take the square root of each side:
x = {-13, 13}

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