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Simplifying 0 = (-16x2) + 26x + 12 Reorder the terms: 0 = 12 + 26x + (-16x2) Solving 0 = 12 + 26x + (-16x2) Solving for variable 'x'. Combine like terms: 0 + -12 = -12 -12 + -26x + (16x2) = 12 + 26x + (-16x2) + -12 + -26x + (16x2) Reorder the terms: -12 + -26x + (16x2) = 12 + -12 + 26x + -26x + (-16x2) + (16x2) Combine like terms: 12 + -12 = 0 -12 + -26x + (16x2) = 0 + 26x + -26x + (-16x2) + (16x2) -12 + -26x + (16x2) = 26x + -26x + (-16x2) + (16x2) Combine like terms: 26x + -26x = 0 -12 + -26x + (16x2) = 0 + (-16x2) + (16x2) -12 + -26x + (16x2) = (-16x2) + (16x2) Combine like terms: (-16x2) + (16x2) = 0 -12 + -26x + (16x2) = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + -13x + (8x2)) = 0 Factor a trinomial. 2((-3 + -8x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -8x)' equal to zero and attempt to solve: Simplifying -3 + -8x = 0 Solving -3 + -8x = 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 + -8x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 0 + 3 -8x = 0 + 3 Combine like terms: 0 + 3 = 3 -8x = 3 Divide each side by '-8'. x = -0.375 Simplifying x = -0.375Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-0.375, 2}
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