(x+7)(x-7)=8

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Solution for (x+7)(x-7)=8 equation: 


Simplifying
(x + 7)(x + -7) = 8

Reorder the terms:
(7 + x)(x + -7) = 8

Reorder the terms:
(7 + x)(-7 + x) = 8

Multiply (7 + x) * (-7 + x)
(7(-7 + x) + x(-7 + x)) = 8
((-7 * 7 + x * 7) + x(-7 + x)) = 8
((-49 + 7x) + x(-7 + x)) = 8
(-49 + 7x + (-7 * x + x * x)) = 8
(-49 + 7x + (-7x + x2)) = 8

Combine like terms: 7x + -7x = 0
(-49 + 0 + x2) = 8
(-49 + x2) = 8

Solving
-49 + x2 = 8

Solving for variable 'x'.

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

Add '49' to each side of the equation.
-49 + 49 + x2 = 8 + 49

Combine like terms: -49 + 49 = 0
0 + x2 = 8 + 49
x2 = 8 + 49

Combine like terms: 8 + 49 = 57
x2 = 57

Simplifying
x2 = 57

Take the square root of each side:
x = {-7.549834435, 7.549834435}

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