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Simplifying
(x + 7)(x + -7) + 13 = 0
Reorder the terms:
(7 + x)(x + -7) + 13 = 0
Reorder the terms:
(7 + x)(-7 + x) + 13 = 0
Multiply (7 + x) * (-7 + x)
(7(-7 + x) + x(-7 + x)) + 13 = 0
((-7 * 7 + x * 7) + x(-7 + x)) + 13 = 0
((-49 + 7x) + x(-7 + x)) + 13 = 0
(-49 + 7x + (-7 * x + x * x)) + 13 = 0
(-49 + 7x + (-7x + x2)) + 13 = 0
Combine like terms: 7x + -7x = 0
(-49 + 0 + x2) + 13 = 0
(-49 + x2) + 13 = 0
Reorder the terms:
-49 + 13 + x2 = 0
Combine like terms: -49 + 13 = -36
-36 + x2 = 0
Solving
-36 + x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '36' to each side of the equation.
-36 + 36 + x2 = 0 + 36
Combine like terms: -36 + 36 = 0
0 + x2 = 0 + 36
x2 = 0 + 36
Combine like terms: 0 + 36 = 36
x2 = 36
Simplifying
x2 = 36
Take the square root of each side:
x = {-6, 6}
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