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Simplifying 2x2 + 14x + 24 = 60 Reorder the terms: 24 + 14x + 2x2 = 60 Solving 24 + 14x + 2x2 = 60 Solving for variable 'x'. Reorder the terms: 24 + -60 + 14x + 2x2 = 60 + -60 Combine like terms: 24 + -60 = -36 -36 + 14x + 2x2 = 60 + -60 Combine like terms: 60 + -60 = 0 -36 + 14x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-18 + 7x + x2) = 0 Factor a trinomial. 2((-9 + -1x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-9, 2}
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