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Simplifying 18x2 + -15x + -187 = 0 Reorder the terms: -187 + -15x + 18x2 = 0 Solving -187 + -15x + 18x2 = 0 Solving for variable 'x'. Factor a trinomial. (-17 + -6x)(11 + -3x) = 0Subproblem 1
Set the factor '(-17 + -6x)' equal to zero and attempt to solve: Simplifying -17 + -6x = 0 Solving -17 + -6x = 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 + -6x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -6x = 0 + 17 -6x = 0 + 17 Combine like terms: 0 + 17 = 17 -6x = 17 Divide each side by '-6'. x = -2.833333333 Simplifying x = -2.833333333Subproblem 2
Set the factor '(11 + -3x)' equal to zero and attempt to solve: Simplifying 11 + -3x = 0 Solving 11 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -3x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3x = 0 + -11 -3x = 0 + -11 Combine like terms: 0 + -11 = -11 -3x = -11 Divide each side by '-3'. x = 3.666666667 Simplifying x = 3.666666667Solution
x = {-2.833333333, 3.666666667}
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