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Simplifying (2x + -9)(-5 + 4x) = 0 Reorder the terms: (-9 + 2x)(-5 + 4x) = 0 Multiply (-9 + 2x) * (-5 + 4x) (-9(-5 + 4x) + 2x * (-5 + 4x)) = 0 ((-5 * -9 + 4x * -9) + 2x * (-5 + 4x)) = 0 ((45 + -36x) + 2x * (-5 + 4x)) = 0 (45 + -36x + (-5 * 2x + 4x * 2x)) = 0 (45 + -36x + (-10x + 8x2)) = 0 Combine like terms: -36x + -10x = -46x (45 + -46x + 8x2) = 0 Solving 45 + -46x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -4x)(9 + -2x) = 0Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 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 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Subproblem 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 = {1.25, 4.5}
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