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Simplifying -18x2 + 67x + -62 = 0 Reorder the terms: -62 + 67x + -18x2 = 0 Solving -62 + 67x + -18x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + x)(31 + -18x) = 0Subproblem 1
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Subproblem 2
Set the factor '(31 + -18x)' equal to zero and attempt to solve: Simplifying 31 + -18x = 0 Solving 31 + -18x = 0 Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -18x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -18x = 0 + -31 -18x = 0 + -31 Combine like terms: 0 + -31 = -31 -18x = -31 Divide each side by '-18'. x = 1.722222222 Simplifying x = 1.722222222Solution
x = {2, 1.722222222}
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