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Simplifying (x + 9)(5 + -1x) = 0 Reorder the terms: (9 + x)(5 + -1x) = 0 Multiply (9 + x) * (5 + -1x) (9(5 + -1x) + x(5 + -1x)) = 0 ((5 * 9 + -1x * 9) + x(5 + -1x)) = 0 ((45 + -9x) + x(5 + -1x)) = 0 (45 + -9x + (5 * x + -1x * x)) = 0 (45 + -9x + (5x + -1x2)) = 0 Combine like terms: -9x + 5x = -4x (45 + -4x + -1x2) = 0 Solving 45 + -4x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -1x)(9 + x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 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 = {5, -9}
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