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Simplifying 0 = 6x2 + -5x + -6 Reorder the terms: 0 = -6 + -5x + 6x2 Solving 0 = -6 + -5x + 6x2 Solving for variable 'x'. Combine like terms: 0 + 6 = 6 6 + 5x + -6x2 = -6 + -5x + 6x2 + 6 + 5x + -6x2 Reorder the terms: 6 + 5x + -6x2 = -6 + 6 + -5x + 5x + 6x2 + -6x2 Combine like terms: -6 + 6 = 0 6 + 5x + -6x2 = 0 + -5x + 5x + 6x2 + -6x2 6 + 5x + -6x2 = -5x + 5x + 6x2 + -6x2 Combine like terms: -5x + 5x = 0 6 + 5x + -6x2 = 0 + 6x2 + -6x2 6 + 5x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 6 + 5x + -6x2 = 0 Factor a trinomial. (3 + -2x)(2 + 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 '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Solution
x = {1.5, -0.6666666667}
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