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Simplifying 960x2 + -2768x + -12857 = 0 Reorder the terms: -12857 + -2768x + 960x2 = 0 Solving -12857 + -2768x + 960x2 = 0 Solving for variable 'x'. Factor a trinomial. (-299 + -120x)(43 + -8x) = 0Subproblem 1
Set the factor '(-299 + -120x)' equal to zero and attempt to solve: Simplifying -299 + -120x = 0 Solving -299 + -120x = 0 Move all terms containing x to the left, all other terms to the right. Add '299' to each side of the equation. -299 + 299 + -120x = 0 + 299 Combine like terms: -299 + 299 = 0 0 + -120x = 0 + 299 -120x = 0 + 299 Combine like terms: 0 + 299 = 299 -120x = 299 Divide each side by '-120'. x = -2.491666667 Simplifying x = -2.491666667Subproblem 2
Set the factor '(43 + -8x)' equal to zero and attempt to solve: Simplifying 43 + -8x = 0 Solving 43 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -8x = 0 + -43 Combine like terms: 43 + -43 = 0 0 + -8x = 0 + -43 -8x = 0 + -43 Combine like terms: 0 + -43 = -43 -8x = -43 Divide each side by '-8'. x = 5.375 Simplifying x = 5.375Solution
x = {-2.491666667, 5.375}
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