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Simplifying 15x2 + -6x = 153 Reorder the terms: -6x + 15x2 = 153 Solving -6x + 15x2 = 153 Solving for variable 'x'. Reorder the terms: -153 + -6x + 15x2 = 153 + -153 Combine like terms: 153 + -153 = 0 -153 + -6x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-51 + -2x + 5x2) = 0 Factor a trinomial. 3((-3 + -1x)(17 + -5x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(17 + -5x)' equal to zero and attempt to solve: Simplifying 17 + -5x = 0 Solving 17 + -5x = 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 + -5x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -5x = 0 + -17 -5x = 0 + -17 Combine like terms: 0 + -17 = -17 -5x = -17 Divide each side by '-5'. x = 3.4 Simplifying x = 3.4Solution
x = {-3, 3.4}
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