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Simplifying 12X2 + 56X = 20 Reorder the terms: 56X + 12X2 = 20 Solving 56X + 12X2 = 20 Solving for variable 'X'. Reorder the terms: -20 + 56X + 12X2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 56X + 12X2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-5 + 14X + 3X2) = 0 Factor a trinomial. 4((-5 + -1X)(1 + -3X)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-5 + -1X)' equal to zero and attempt to solve: Simplifying -5 + -1X = 0 Solving -5 + -1X = 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 + -1X = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1X = 0 + 5 -1X = 0 + 5 Combine like terms: 0 + 5 = 5 -1X = 5 Divide each side by '-1'. X = -5 Simplifying X = -5Subproblem 2
Set the factor '(1 + -3X)' equal to zero and attempt to solve: Simplifying 1 + -3X = 0 Solving 1 + -3X = 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 + -3X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3X = 0 + -1 -3X = 0 + -1 Combine like terms: 0 + -1 = -1 -3X = -1 Divide each side by '-3'. X = 0.3333333333 Simplifying X = 0.3333333333Solution
X = {-5, 0.3333333333}
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