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Simplifying 6X2 = 120 + 6X Solving 6X2 = 120 + 6X Solving for variable 'X'. Reorder the terms: -120 + -6X + 6X2 = 120 + 6X + -120 + -6X Reorder the terms: -120 + -6X + 6X2 = 120 + -120 + 6X + -6X Combine like terms: 120 + -120 = 0 -120 + -6X + 6X2 = 0 + 6X + -6X -120 + -6X + 6X2 = 6X + -6X Combine like terms: 6X + -6X = 0 -120 + -6X + 6X2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-20 + -1X + X2) = 0 Factor a trinomial. 6((-4 + -1X)(5 + -1X)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-4 + -1X)' equal to zero and attempt to solve: Simplifying -4 + -1X = 0 Solving -4 + -1X = 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 + -1X = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1X = 0 + 4 -1X = 0 + 4 Combine like terms: 0 + 4 = 4 -1X = 4 Divide each side by '-1'. X = -4 Simplifying X = -4Subproblem 2
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 = 5Solution
X = {-4, 5}
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