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Simplifying
-1(4 + x)(4 + -1x) = 0
Multiply (4 + x) * (4 + -1x)
-1(4(4 + -1x) + x(4 + -1x)) = 0
-1((4 * 4 + -1x * 4) + x(4 + -1x)) = 0
-1((16 + -4x) + x(4 + -1x)) = 0
-1(16 + -4x + (4 * x + -1x * x)) = 0
-1(16 + -4x + (4x + -1x2)) = 0
Combine like terms: -4x + 4x = 0
-1(16 + 0 + -1x2) = 0
-1(16 + -1x2) = 0
(16 * -1 + -1x2 * -1) = 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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