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Simplifying x + -1x * 3x = -140 Reorder the terms for easier multiplication: x + -1 * 3x * x = -140 Multiply -1 * 3 x + -3x * x = -140 Multiply x * x x + -3x2 = -140 Solving x + -3x2 = -140 Solving for variable 'x'. Reorder the terms: 140 + x + -3x2 = -140 + 140 Combine like terms: -140 + 140 = 0 140 + x + -3x2 = 0 Factor a trinomial. (7 + -1x)(20 + 3x) = 0Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 2
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 = -6.666666667Solution
x = {7, -6.666666667}
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