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Simplifying 2x2 + -14x = 660 Reorder the terms: -14x + 2x2 = 660 Solving -14x + 2x2 = 660 Solving for variable 'x'. Reorder the terms: -660 + -14x + 2x2 = 660 + -660 Combine like terms: 660 + -660 = 0 -660 + -14x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-330 + -7x + x2) = 0 Factor a trinomial. 2((-15 + -1x)(22 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-15 + -1x)' equal to zero and attempt to solve: Simplifying -15 + -1x = 0 Solving -15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 0 + 15 -1x = 0 + 15 Combine like terms: 0 + 15 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15Subproblem 2
Set the factor '(22 + -1x)' equal to zero and attempt to solve: Simplifying 22 + -1x = 0 Solving 22 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1x = 0 + -22 -1x = 0 + -22 Combine like terms: 0 + -22 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22Solution
x = {-15, 22}
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