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Simplifying 3(4x + -9) = 5x(2x + -5) Reorder the terms: 3(-9 + 4x) = 5x(2x + -5) (-9 * 3 + 4x * 3) = 5x(2x + -5) (-27 + 12x) = 5x(2x + -5) Reorder the terms: -27 + 12x = 5x(-5 + 2x) -27 + 12x = (-5 * 5x + 2x * 5x) -27 + 12x = (-25x + 10x2) Solving -27 + 12x = -25x + 10x2 Solving for variable 'x'. Combine like terms: 12x + 25x = 37x -27 + 37x + -10x2 = -25x + 10x2 + 25x + -10x2 Reorder the terms: -27 + 37x + -10x2 = -25x + 25x + 10x2 + -10x2 Combine like terms: -25x + 25x = 0 -27 + 37x + -10x2 = 0 + 10x2 + -10x2 -27 + 37x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 -27 + 37x + -10x2 = 0 Factor a trinomial. (-27 + 10x)(1 + -1x) = 0Subproblem 1
Set the factor '(-27 + 10x)' equal to zero and attempt to solve: Simplifying -27 + 10x = 0 Solving -27 + 10x = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 10x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 10x = 0 + 27 10x = 0 + 27 Combine like terms: 0 + 27 = 27 10x = 27 Divide each side by '10'. x = 2.7 Simplifying x = 2.7Subproblem 2
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 = 1Solution
x = {2.7, 1}
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