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Simplifying 0 = -3x2 + 16x + 12 Reorder the terms: 0 = 12 + 16x + -3x2 Solving 0 = 12 + 16x + -3x2 Solving for variable 'x'. Combine like terms: 0 + -12 = -12 -12 + -16x + 3x2 = 12 + 16x + -3x2 + -12 + -16x + 3x2 Reorder the terms: -12 + -16x + 3x2 = 12 + -12 + 16x + -16x + -3x2 + 3x2 Combine like terms: 12 + -12 = 0 -12 + -16x + 3x2 = 0 + 16x + -16x + -3x2 + 3x2 -12 + -16x + 3x2 = 16x + -16x + -3x2 + 3x2 Combine like terms: 16x + -16x = 0 -12 + -16x + 3x2 = 0 + -3x2 + 3x2 -12 + -16x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -12 + -16x + 3x2 = 0 Factor a trinomial. (-2 + -3x)(6 + -1x) = 0Subproblem 1
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 = -0.6666666667Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-0.6666666667, 6}
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