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Simplifying -36x2 + 30x + 66 = 0 Reorder the terms: 66 + 30x + -36x2 = 0 Solving 66 + 30x + -36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(11 + 5x + -6x2) = 0 Factor a trinomial. 6((11 + -6x)(1 + x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(11 + -6x)' equal to zero and attempt to solve: Simplifying 11 + -6x = 0 Solving 11 + -6x = 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 + -6x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -6x = 0 + -11 -6x = 0 + -11 Combine like terms: 0 + -11 = -11 -6x = -11 Divide each side by '-6'. x = 1.833333333 Simplifying x = 1.833333333Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {1.833333333, -1}
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