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Simplifying x = 6x2 + 2x + -15 Reorder the terms: x = -15 + 2x + 6x2 Solving x = -15 + 2x + 6x2 Solving for variable 'x'. Reorder the terms: 15 + x + -2x + -6x2 = -15 + 2x + 6x2 + 15 + -2x + -6x2 Combine like terms: x + -2x = -1x 15 + -1x + -6x2 = -15 + 2x + 6x2 + 15 + -2x + -6x2 Reorder the terms: 15 + -1x + -6x2 = -15 + 15 + 2x + -2x + 6x2 + -6x2 Combine like terms: -15 + 15 = 0 15 + -1x + -6x2 = 0 + 2x + -2x + 6x2 + -6x2 15 + -1x + -6x2 = 2x + -2x + 6x2 + -6x2 Combine like terms: 2x + -2x = 0 15 + -1x + -6x2 = 0 + 6x2 + -6x2 15 + -1x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 15 + -1x + -6x2 = 0 Factor a trinomial. (3 + -2x)(5 + 3x) = 0Subproblem 1
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 = 1.5Subproblem 2
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 = -1.666666667Solution
x = {1.5, -1.666666667}
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