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Simplifying 4x2 + 31x + 46 = 0 Reorder the terms: 46 + 31x + 4x2 = 0 Solving 46 + 31x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (23 + 4x)(2 + x) = 0Subproblem 1
Set the factor '(23 + 4x)' equal to zero and attempt to solve: Simplifying 23 + 4x = 0 Solving 23 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 4x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 4x = 0 + -23 4x = 0 + -23 Combine like terms: 0 + -23 = -23 4x = -23 Divide each side by '4'. x = -5.75 Simplifying x = -5.75Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-5.75, -2}
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