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Simplifying 9x2 + -1x = 140 Reorder the terms: -1x + 9x2 = 140 Solving -1x + 9x2 = 140 Solving for variable 'x'. Reorder the terms: -140 + -1x + 9x2 = 140 + -140 Combine like terms: 140 + -140 = 0 -140 + -1x + 9x2 = 0 Factor a trinomial. (-35 + -9x)(4 + -1x) = 0Subproblem 1
Set the factor '(-35 + -9x)' equal to zero and attempt to solve: Simplifying -35 + -9x = 0 Solving -35 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -9x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -9x = 0 + 35 -9x = 0 + 35 Combine like terms: 0 + 35 = 35 -9x = 35 Divide each side by '-9'. x = -3.888888889 Simplifying x = -3.888888889Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-3.888888889, 4}
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