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Simplifying (2x + -3)(x + -9) = 0 Reorder the terms: (-3 + 2x)(x + -9) = 0 Reorder the terms: (-3 + 2x)(-9 + x) = 0 Multiply (-3 + 2x) * (-9 + x) (-3(-9 + x) + 2x * (-9 + x)) = 0 ((-9 * -3 + x * -3) + 2x * (-9 + x)) = 0 ((27 + -3x) + 2x * (-9 + x)) = 0 (27 + -3x + (-9 * 2x + x * 2x)) = 0 (27 + -3x + (-18x + 2x2)) = 0 Combine like terms: -3x + -18x = -21x (27 + -21x + 2x2) = 0 Solving 27 + -21x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -2x)(9 + -1x) = 0Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {1.5, 9}
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