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Simplifying 6x2 + 31x + 44 = 4 Reorder the terms: 44 + 31x + 6x2 = 4 Solving 44 + 31x + 6x2 = 4 Solving for variable 'x'. Reorder the terms: 44 + -4 + 31x + 6x2 = 4 + -4 Combine like terms: 44 + -4 = 40 40 + 31x + 6x2 = 4 + -4 Combine like terms: 4 + -4 = 0 40 + 31x + 6x2 = 0 Factor a trinomial. (8 + 3x)(5 + 2x) = 0Subproblem 1
Set the factor '(8 + 3x)' equal to zero and attempt to solve: Simplifying 8 + 3x = 0 Solving 8 + 3x = 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 + 3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 0 + -8 3x = 0 + -8 Combine like terms: 0 + -8 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667Subproblem 2
Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Solution
x = {-2.666666667, -2.5}
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