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Simplifying
(x + 4)(x + -4) + 7 = 0
Reorder the terms:
(4 + x)(x + -4) + 7 = 0
Reorder the terms:
(4 + x)(-4 + x) + 7 = 0
Multiply (4 + x) * (-4 + x)
(4(-4 + x) + x(-4 + x)) + 7 = 0
((-4 * 4 + x * 4) + x(-4 + x)) + 7 = 0
((-16 + 4x) + x(-4 + x)) + 7 = 0
(-16 + 4x + (-4 * x + x * x)) + 7 = 0
(-16 + 4x + (-4x + x2)) + 7 = 0
Combine like terms: 4x + -4x = 0
(-16 + 0 + x2) + 7 = 0
(-16 + x2) + 7 = 0
Reorder the terms:
-16 + 7 + x2 = 0
Combine like terms: -16 + 7 = -9
-9 + x2 = 0
Solving
-9 + x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + x2 = 0 + 9
Combine like terms: -9 + 9 = 0
0 + x2 = 0 + 9
x2 = 0 + 9
Combine like terms: 0 + 9 = 9
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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