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Simplifying 5x2 + -308x + -9408 = 0 Reorder the terms: -9408 + -308x + 5x2 = 0 Solving -9408 + -308x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-112 + -5x)(84 + -1x) = 0Subproblem 1
Set the factor '(-112 + -5x)' equal to zero and attempt to solve: Simplifying -112 + -5x = 0 Solving -112 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '112' to each side of the equation. -112 + 112 + -5x = 0 + 112 Combine like terms: -112 + 112 = 0 0 + -5x = 0 + 112 -5x = 0 + 112 Combine like terms: 0 + 112 = 112 -5x = 112 Divide each side by '-5'. x = -22.4 Simplifying x = -22.4Subproblem 2
Set the factor '(84 + -1x)' equal to zero and attempt to solve: Simplifying 84 + -1x = 0 Solving 84 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -1x = 0 + -84 Combine like terms: 84 + -84 = 0 0 + -1x = 0 + -84 -1x = 0 + -84 Combine like terms: 0 + -84 = -84 -1x = -84 Divide each side by '-1'. x = 84 Simplifying x = 84Solution
x = {-22.4, 84}
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