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Simplifying 0 = 12x2 + -5x + -2 Reorder the terms: 0 = -2 + -5x + 12x2 Solving 0 = -2 + -5x + 12x2 Solving for variable 'x'. Combine like terms: 0 + 2 = 2 2 + 5x + -12x2 = -2 + -5x + 12x2 + 2 + 5x + -12x2 Reorder the terms: 2 + 5x + -12x2 = -2 + 2 + -5x + 5x + 12x2 + -12x2 Combine like terms: -2 + 2 = 0 2 + 5x + -12x2 = 0 + -5x + 5x + 12x2 + -12x2 2 + 5x + -12x2 = -5x + 5x + 12x2 + -12x2 Combine like terms: -5x + 5x = 0 2 + 5x + -12x2 = 0 + 12x2 + -12x2 2 + 5x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 2 + 5x + -12x2 = 0 Factor a trinomial. (2 + -3x)(1 + 4x) = 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 '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 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 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25Solution
x = {0.6666666667, -0.25}
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