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Simplifying -12x2 + -38x = -40 Reorder the terms: -38x + -12x2 = -40 Solving -38x + -12x2 = -40 Solving for variable 'x'. Reorder the terms: 40 + -38x + -12x2 = -40 + 40 Combine like terms: -40 + 40 = 0 40 + -38x + -12x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(20 + -19x + -6x2) = 0 Factor a trinomial. 2((5 + -6x)(4 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -6x)' equal to zero and attempt to solve: Simplifying 5 + -6x = 0 Solving 5 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 0 + -5 -6x = 0 + -5 Combine like terms: 0 + -5 = -5 -6x = -5 Divide each side by '-6'. x = 0.8333333333 Simplifying x = 0.8333333333Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {0.8333333333, -4}
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