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Simplifying 140 = 3x2 + x Reorder the terms: 140 = x + 3x2 Solving 140 = x + 3x2 Solving for variable 'x'. Reorder the terms: 140 + -1x + -3x2 = x + -1x + 3x2 + -3x2 Combine like terms: x + -1x = 0 140 + -1x + -3x2 = 0 + 3x2 + -3x2 140 + -1x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 140 + -1x + -3x2 = 0 Factor a trinomial. (20 + -3x)(7 + x) = 0Subproblem 1
Set the factor '(20 + -3x)' equal to zero and attempt to solve: Simplifying 20 + -3x = 0 Solving 20 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -3x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -3x = 0 + -20 -3x = 0 + -20 Combine like terms: 0 + -20 = -20 -3x = -20 Divide each side by '-3'. x = 6.666666667 Simplifying x = 6.666666667Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {6.666666667, -7}
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