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Simplifying 6x2 + 47x + 92 = 0 Reorder the terms: 92 + 47x + 6x2 = 0 Solving 92 + 47x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + x)(23 + 6x) = 0Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(23 + 6x)' equal to zero and attempt to solve: Simplifying 23 + 6x = 0 Solving 23 + 6x = 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 + 6x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 6x = 0 + -23 6x = 0 + -23 Combine like terms: 0 + -23 = -23 6x = -23 Divide each side by '6'. x = -3.833333333 Simplifying x = -3.833333333Solution
x = {-4, -3.833333333}
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