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Simplifying
(5 + x)(5 + -1x) = 16
Multiply (5 + x) * (5 + -1x)
(5(5 + -1x) + x(5 + -1x)) = 16
((5 * 5 + -1x * 5) + x(5 + -1x)) = 16
((25 + -5x) + x(5 + -1x)) = 16
(25 + -5x + (5 * x + -1x * x)) = 16
(25 + -5x + (5x + -1x2)) = 16
Combine like terms: -5x + 5x = 0
(25 + 0 + -1x2) = 16
(25 + -1x2) = 16
Solving
25 + -1x2 = 16
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-25' to each side of the equation.
25 + -25 + -1x2 = 16 + -25
Combine like terms: 25 + -25 = 0
0 + -1x2 = 16 + -25
-1x2 = 16 + -25
Combine like terms: 16 + -25 = -9
-1x2 = -9
Divide each side by '-1'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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