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Simplifying
(x + -7)(x + 7) = 15
Reorder the terms:
(-7 + x)(x + 7) = 15
Reorder the terms:
(-7 + x)(7 + x) = 15
Multiply (-7 + x) * (7 + x)
(-7(7 + x) + x(7 + x)) = 15
((7 * -7 + x * -7) + x(7 + x)) = 15
((-49 + -7x) + x(7 + x)) = 15
(-49 + -7x + (7 * x + x * x)) = 15
(-49 + -7x + (7x + x2)) = 15
Combine like terms: -7x + 7x = 0
(-49 + 0 + x2) = 15
(-49 + x2) = 15
Solving
-49 + x2 = 15
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 = 15 + 49
Combine like terms: -49 + 49 = 0
0 + x2 = 15 + 49
x2 = 15 + 49
Combine like terms: 15 + 49 = 64
x2 = 64
Simplifying
x2 = 64
Take the square root of each side:
x = {-8, 8}
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