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Simplifying 3x2 = 31x + -56 Reorder the terms: 3x2 = -56 + 31x Solving 3x2 = -56 + 31x Solving for variable 'x'. Reorder the terms: 56 + -31x + 3x2 = -56 + 31x + 56 + -31x Reorder the terms: 56 + -31x + 3x2 = -56 + 56 + 31x + -31x Combine like terms: -56 + 56 = 0 56 + -31x + 3x2 = 0 + 31x + -31x 56 + -31x + 3x2 = 31x + -31x Combine like terms: 31x + -31x = 0 56 + -31x + 3x2 = 0 Factor a trinomial. (7 + -3x)(8 + -1x) = 0Subproblem 1
Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 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 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {2.333333333, 8}
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