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Simplifying 12x2 + 31x + 4 = -16 Reorder the terms: 4 + 31x + 12x2 = -16 Solving 4 + 31x + 12x2 = -16 Solving for variable 'x'. Reorder the terms: 4 + 16 + 31x + 12x2 = -16 + 16 Combine like terms: 4 + 16 = 20 20 + 31x + 12x2 = -16 + 16 Combine like terms: -16 + 16 = 0 20 + 31x + 12x2 = 0 Factor a trinomial. (4 + 3x)(5 + 4x) = 0Subproblem 1
Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 2
Set the factor '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 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 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25Solution
x = {-1.333333333, -1.25}
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