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Simplifying 12x2 + -62x + -20 = -100 Reorder the terms: -20 + -62x + 12x2 = -100 Solving -20 + -62x + 12x2 = -100 Solving for variable 'x'. Reorder the terms: -20 + 100 + -62x + 12x2 = -100 + 100 Combine like terms: -20 + 100 = 80 80 + -62x + 12x2 = -100 + 100 Combine like terms: -100 + 100 = 0 80 + -62x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(40 + -31x + 6x2) = 0 Factor a trinomial. 2((5 + -2x)(8 + -3x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Subproblem 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 = {2.5, 2.666666667}
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