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Simplifying 6x2 + -15x + -6 = -4x + -9 Reorder the terms: -6 + -15x + 6x2 = -4x + -9 Reorder the terms: -6 + -15x + 6x2 = -9 + -4x Solving -6 + -15x + 6x2 = -9 + -4x Solving for variable 'x'. Reorder the terms: -6 + 9 + -15x + 4x + 6x2 = -9 + -4x + 9 + 4x Combine like terms: -6 + 9 = 3 3 + -15x + 4x + 6x2 = -9 + -4x + 9 + 4x Combine like terms: -15x + 4x = -11x 3 + -11x + 6x2 = -9 + -4x + 9 + 4x Reorder the terms: 3 + -11x + 6x2 = -9 + 9 + -4x + 4x Combine like terms: -9 + 9 = 0 3 + -11x + 6x2 = 0 + -4x + 4x 3 + -11x + 6x2 = -4x + 4x Combine like terms: -4x + 4x = 0 3 + -11x + 6x2 = 0 Factor a trinomial. (1 + -3x)(3 + -2x) = 0Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Subproblem 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 = {0.3333333333, 1.5}
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