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Simplifying (15 + -1x)(9 + x) = 0 Multiply (15 + -1x) * (9 + x) (15(9 + x) + -1x * (9 + x)) = 0 ((9 * 15 + x * 15) + -1x * (9 + x)) = 0 ((135 + 15x) + -1x * (9 + x)) = 0 (135 + 15x + (9 * -1x + x * -1x)) = 0 (135 + 15x + (-9x + -1x2)) = 0 Combine like terms: 15x + -9x = 6x (135 + 6x + -1x2) = 0 Solving 135 + 6x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (15 + -1x)(9 + x) = 0Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Subproblem 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 = {15, -9}
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