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Simplifying 12x2 + -38x = -16 Reorder the terms: -38x + 12x2 = -16 Solving -38x + 12x2 = -16 Solving for variable 'x'. Reorder the terms: 16 + -38x + 12x2 = -16 + 16 Combine like terms: -16 + 16 = 0 16 + -38x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + -19x + 6x2) = 0 Factor a trinomial. 2((1 + -2x)(8 + -3x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667Solution
x = {0.5, 2.666666667}
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