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Simplifying (2x + 9)(1 + -1x) = 0 Reorder the terms: (9 + 2x)(1 + -1x) = 0 Multiply (9 + 2x) * (1 + -1x) (9(1 + -1x) + 2x * (1 + -1x)) = 0 ((1 * 9 + -1x * 9) + 2x * (1 + -1x)) = 0 ((9 + -9x) + 2x * (1 + -1x)) = 0 (9 + -9x + (1 * 2x + -1x * 2x)) = 0 (9 + -9x + (2x + -2x2)) = 0 Combine like terms: -9x + 2x = -7x (9 + -7x + -2x2) = 0 Solving 9 + -7x + -2x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x)(9 + 2x) = 0Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(9 + 2x)' equal to zero and attempt to solve: Simplifying 9 + 2x = 0 Solving 9 + 2x = 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 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5Solution
x = {1, -4.5}
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