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Simplifying -36x2 + 1458x + -13356 = 0 Reorder the terms: -13356 + 1458x + -36x2 = 0 Solving -13356 + 1458x + -36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '18'. 18(-742 + 81x + -2x2) = 0 Factor a trinomial. 18((-53 + 2x)(14 + -1x)) = 0 Ignore the factor 18.Subproblem 1
Set the factor '(-53 + 2x)' equal to zero and attempt to solve: Simplifying -53 + 2x = 0 Solving -53 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + 2x = 0 + 53 Combine like terms: -53 + 53 = 0 0 + 2x = 0 + 53 2x = 0 + 53 Combine like terms: 0 + 53 = 53 2x = 53 Divide each side by '2'. x = 26.5 Simplifying x = 26.5Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Solution
x = {26.5, 14}
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