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Simplifying 9x2 + -69x + -140 = 0 Reorder the terms: -140 + -69x + 9x2 = 0 Solving -140 + -69x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -3x)(28 + -3x) = 0Subproblem 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve: Simplifying -5 + -3x = 0 Solving -5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 0 + 5 -3x = 0 + 5 Combine like terms: 0 + 5 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667Subproblem 2
Set the factor '(28 + -3x)' equal to zero and attempt to solve: Simplifying 28 + -3x = 0 Solving 28 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -3x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -3x = 0 + -28 -3x = 0 + -28 Combine like terms: 0 + -28 = -28 -3x = -28 Divide each side by '-3'. x = 9.333333333 Simplifying x = 9.333333333Solution
x = {-1.666666667, 9.333333333}
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