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Simplifying
(x + -4)(x + 4) = 7
Reorder the terms:
(-4 + x)(x + 4) = 7
Reorder the terms:
(-4 + x)(4 + x) = 7
Multiply (-4 + x) * (4 + x)
(-4(4 + x) + x(4 + x)) = 7
((4 * -4 + x * -4) + x(4 + x)) = 7
((-16 + -4x) + x(4 + x)) = 7
(-16 + -4x + (4 * x + x * x)) = 7
(-16 + -4x + (4x + x2)) = 7
Combine like terms: -4x + 4x = 0
(-16 + 0 + x2) = 7
(-16 + x2) = 7
Solving
-16 + x2 = 7
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + x2 = 7 + 16
Combine like terms: -16 + 16 = 0
0 + x2 = 7 + 16
x2 = 7 + 16
Combine like terms: 7 + 16 = 23
x2 = 23
Simplifying
x2 = 23
Take the square root of each side:
x = {-4.795831523, 4.795831523}
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