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Simplifying 3x2 + -92 = 11x Reorder the terms: -92 + 3x2 = 11x Solving -92 + 3x2 = 11x Solving for variable 'x'. Reorder the terms: -92 + -11x + 3x2 = 11x + -11x Combine like terms: 11x + -11x = 0 -92 + -11x + 3x2 = 0 Factor a trinomial. (-4 + -1x)(23 + -3x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(23 + -3x)' equal to zero and attempt to solve: Simplifying 23 + -3x = 0 Solving 23 + -3x = 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 + -3x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -3x = 0 + -23 -3x = 0 + -23 Combine like terms: 0 + -23 = -23 -3x = -23 Divide each side by '-3'. x = 7.666666667 Simplifying x = 7.666666667Solution
x = {-4, 7.666666667}
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