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Simplifying (2x + -9)(-1x + -2) = 0 Reorder the terms: (-9 + 2x)(-1x + -2) = 0 Reorder the terms: (-9 + 2x)(-2 + -1x) = 0 Multiply (-9 + 2x) * (-2 + -1x) (-9(-2 + -1x) + 2x * (-2 + -1x)) = 0 ((-2 * -9 + -1x * -9) + 2x * (-2 + -1x)) = 0 ((18 + 9x) + 2x * (-2 + -1x)) = 0 (18 + 9x + (-2 * 2x + -1x * 2x)) = 0 (18 + 9x + (-4x + -2x2)) = 0 Combine like terms: 9x + -4x = 5x (18 + 5x + -2x2) = 0 Solving 18 + 5x + -2x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -2x)(2 + x) = 0Subproblem 1
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 = 4.5Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {4.5, -2}
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