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Simplifying 2x2 = 47x + -140 Reorder the terms: 2x2 = -140 + 47x Solving 2x2 = -140 + 47x Solving for variable 'x'. Reorder the terms: 140 + -47x + 2x2 = -140 + 47x + 140 + -47x Reorder the terms: 140 + -47x + 2x2 = -140 + 140 + 47x + -47x Combine like terms: -140 + 140 = 0 140 + -47x + 2x2 = 0 + 47x + -47x 140 + -47x + 2x2 = 47x + -47x Combine like terms: 47x + -47x = 0 140 + -47x + 2x2 = 0 Factor a trinomial. (7 + -2x)(20 + -1x) = 0Subproblem 1
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 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 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 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 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {3.5, 20}
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