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Simplifying 3x2 + -10 = 12 + -31x Reorder the terms: -10 + 3x2 = 12 + -31x Solving -10 + 3x2 = 12 + -31x Solving for variable 'x'. Reorder the terms: -10 + -12 + 31x + 3x2 = 12 + -31x + -12 + 31x Combine like terms: -10 + -12 = -22 -22 + 31x + 3x2 = 12 + -31x + -12 + 31x Reorder the terms: -22 + 31x + 3x2 = 12 + -12 + -31x + 31x Combine like terms: 12 + -12 = 0 -22 + 31x + 3x2 = 0 + -31x + 31x -22 + 31x + 3x2 = -31x + 31x Combine like terms: -31x + 31x = 0 -22 + 31x + 3x2 = 0 Factor a trinomial. (-11 + -1x)(2 + -3x) = 0Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {-11, 0.6666666667}
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