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Simplifying -18x2 + 159x = 51 Reorder the terms: 159x + -18x2 = 51 Solving 159x + -18x2 = 51 Solving for variable 'x'. Reorder the terms: -51 + 159x + -18x2 = 51 + -51 Combine like terms: 51 + -51 = 0 -51 + 159x + -18x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-17 + 53x + -6x2) = 0 Factor a trinomial. 3((-17 + 2x)(1 + -3x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-17 + 2x)' equal to zero and attempt to solve: Simplifying -17 + 2x = 0 Solving -17 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 2x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = 0 + 17 2x = 0 + 17 Combine like terms: 0 + 17 = 17 2x = 17 Divide each side by '2'. x = 8.5 Simplifying x = 8.5Subproblem 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 = {8.5, 0.3333333333}
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