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Simplifying 10x2 + -15x = 8x + -12 Reorder the terms: -15x + 10x2 = 8x + -12 Reorder the terms: -15x + 10x2 = -12 + 8x Solving -15x + 10x2 = -12 + 8x Solving for variable 'x'. Reorder the terms: 12 + -15x + -8x + 10x2 = -12 + 8x + 12 + -8x Combine like terms: -15x + -8x = -23x 12 + -23x + 10x2 = -12 + 8x + 12 + -8x Reorder the terms: 12 + -23x + 10x2 = -12 + 12 + 8x + -8x Combine like terms: -12 + 12 = 0 12 + -23x + 10x2 = 0 + 8x + -8x 12 + -23x + 10x2 = 8x + -8x Combine like terms: 8x + -8x = 0 12 + -23x + 10x2 = 0 Factor a trinomial. (4 + -5x)(3 + -2x) = 0Subproblem 1
Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Subproblem 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 = {0.8, 1.5}
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