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Simplifying 3x2 + 2x + -560 = 0 Reorder the terms: -560 + 2x + 3x2 = 0 Solving -560 + 2x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-14 + -1x)(40 + -3x) = 0Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve: Simplifying -14 + -1x = 0 Solving -14 + -1x = 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 + -1x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = 0 + 14 -1x = 0 + 14 Combine like terms: 0 + 14 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14Subproblem 2
Set the factor '(40 + -3x)' equal to zero and attempt to solve: Simplifying 40 + -3x = 0 Solving 40 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -3x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -3x = 0 + -40 -3x = 0 + -40 Combine like terms: 0 + -40 = -40 -3x = -40 Divide each side by '-3'. x = 13.33333333 Simplifying x = 13.33333333Solution
x = {-14, 13.33333333}
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