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Simplifying 6x2 = -35 + -31x Solving 6x2 = -35 + -31x Solving for variable 'x'. Reorder the terms: 35 + 31x + 6x2 = -35 + -31x + 35 + 31x Reorder the terms: 35 + 31x + 6x2 = -35 + 35 + -31x + 31x Combine like terms: -35 + 35 = 0 35 + 31x + 6x2 = 0 + -31x + 31x 35 + 31x + 6x2 = -31x + 31x Combine like terms: -31x + 31x = 0 35 + 31x + 6x2 = 0 Factor a trinomial. (7 + 2x)(5 + 3x) = 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 '(5 + 3x)' equal to zero and attempt to solve: Simplifying 5 + 3x = 0 Solving 5 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667Solution
x = {-3.5, -1.666666667}
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