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Simplifying x(6x + -1) = 12 Reorder the terms: x(-1 + 6x) = 12 (-1 * x + 6x * x) = 12 (-1x + 6x2) = 12 Solving -1x + 6x2 = 12 Solving for variable 'x'. Reorder the terms: -12 + -1x + 6x2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + -1x + 6x2 = 0 Factor a trinomial. (-4 + -3x)(3 + -2x) = 0Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 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 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 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 = {-1.333333333, 1.5}
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