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Simplifying
(4 + -1x)(4 + x) = 0
Multiply (4 + -1x) * (4 + x)
(4(4 + x) + -1x * (4 + x)) = 0
((4 * 4 + x * 4) + -1x * (4 + x)) = 0
((16 + 4x) + -1x * (4 + x)) = 0
(16 + 4x + (4 * -1x + x * -1x)) = 0
(16 + 4x + (-4x + -1x2)) = 0
Combine like terms: 4x + -4x = 0
(16 + 0 + -1x2) = 0
(16 + -1x2) = 0
Solving
16 + -1x2 = 0
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 + -1x2 = 0 + -16
Combine like terms: 16 + -16 = 0
0 + -1x2 = 0 + -16
-1x2 = 0 + -16
Combine like terms: 0 + -16 = -16
-1x2 = -16
Divide each side by '-1'.
x2 = 16
Simplifying
x2 = 16
Take the square root of each side:
x = {-4, 4}
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