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Simplifying (x + 9)(7 + -1x) = 0 Reorder the terms: (9 + x)(7 + -1x) = 0 Multiply (9 + x) * (7 + -1x) (9(7 + -1x) + x(7 + -1x)) = 0 ((7 * 9 + -1x * 9) + x(7 + -1x)) = 0 ((63 + -9x) + x(7 + -1x)) = 0 (63 + -9x + (7 * x + -1x * x)) = 0 (63 + -9x + (7x + -1x2)) = 0 Combine like terms: -9x + 7x = -2x (63 + -2x + -1x2) = 0 Solving 63 + -2x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -1x)(9 + x) = 0Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Solution
x = {7, -9}
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