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Simplifying -45x2 + 66x = -15 Reorder the terms: 66x + -45x2 = -15 Solving 66x + -45x2 = -15 Solving for variable 'x'. Reorder the terms: 15 + 66x + -45x2 = -15 + 15 Combine like terms: -15 + 15 = 0 15 + 66x + -45x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(5 + 22x + -15x2) = 0 Factor a trinomial. 3((5 + -3x)(1 + 5x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Subproblem 2
Set the factor '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 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 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2Solution
x = {1.666666667, -0.2}
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