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Simplifying 6x2 + 10x + -9x = 15 Reorder the terms: 10x + -9x + 6x2 = 15 Combine like terms: 10x + -9x = 1x 1x + 6x2 = 15 Solving 1x + 6x2 = 15 Solving for variable 'x'. Reorder the terms: -15 + 1x + 6x2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + 1x + 6x2 = 0 Factor a trinomial. (-5 + -3x)(3 + -2x) = 0Subproblem 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve: Simplifying -5 + -3x = 0 Solving -5 + -3x = 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 + -3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 0 + 5 -3x = 0 + 5 Combine like terms: 0 + 5 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667Subproblem 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 = {-1.666666667, 1.5}
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