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Simplifying 44x + -15x + 60 = 2x2 + -8x Reorder the terms: 60 + 44x + -15x = 2x2 + -8x Combine like terms: 44x + -15x = 29x 60 + 29x = 2x2 + -8x Reorder the terms: 60 + 29x = -8x + 2x2 Solving 60 + 29x = -8x + 2x2 Solving for variable 'x'. Combine like terms: 29x + 8x = 37x 60 + 37x + -2x2 = -8x + 2x2 + 8x + -2x2 Reorder the terms: 60 + 37x + -2x2 = -8x + 8x + 2x2 + -2x2 Combine like terms: -8x + 8x = 0 60 + 37x + -2x2 = 0 + 2x2 + -2x2 60 + 37x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 60 + 37x + -2x2 = 0 Factor a trinomial. (20 + -1x)(3 + 2x) = 0Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Subproblem 2
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 = -1.5Solution
x = {20, -1.5}
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