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Simplifying -5x2 + 120x = 700 Reorder the terms: 120x + -5x2 = 700 Solving 120x + -5x2 = 700 Solving for variable 'x'. Reorder the terms: -700 + 120x + -5x2 = 700 + -700 Combine like terms: 700 + -700 = 0 -700 + 120x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-140 + 24x + -1x2) = 0 Factor a trinomial. 5((-14 + x)(10 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-14 + x)' equal to zero and attempt to solve: Simplifying -14 + x = 0 Solving -14 + x = 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 + x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + x = 0 + 14 x = 0 + 14 Combine like terms: 0 + 14 = 14 x = 14 Simplifying x = 14Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {14, 10}
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