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Simplifying 15x2 + -165x = 630 Reorder the terms: -165x + 15x2 = 630 Solving -165x + 15x2 = 630 Solving for variable 'x'. Reorder the terms: -630 + -165x + 15x2 = 630 + -630 Combine like terms: 630 + -630 = 0 -630 + -165x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), '15'. 15(-42 + -11x + x2) = 0 Factor a trinomial. 15((-3 + -1x)(14 + -1x)) = 0 Ignore the factor 15.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 '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Solution
x = {-3, 14}
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