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Simplifying
(x + 7)(x + -7) = -4
Reorder the terms:
(7 + x)(x + -7) = -4
Reorder the terms:
(7 + x)(-7 + x) = -4
Multiply (7 + x) * (-7 + x)
(7(-7 + x) + x(-7 + x)) = -4
((-7 * 7 + x * 7) + x(-7 + x)) = -4
((-49 + 7x) + x(-7 + x)) = -4
(-49 + 7x + (-7 * x + x * x)) = -4
(-49 + 7x + (-7x + x2)) = -4
Combine like terms: 7x + -7x = 0
(-49 + 0 + x2) = -4
(-49 + x2) = -4
Solving
-49 + x2 = -4
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 = -4 + 49
Combine like terms: -49 + 49 = 0
0 + x2 = -4 + 49
x2 = -4 + 49
Combine like terms: -4 + 49 = 45
x2 = 45
Simplifying
x2 = 45
Take the square root of each side:
x = {-6.708203933, 6.708203933}
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