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Simplifying -5x2 + -36x + 92 = 0 Reorder the terms: 92 + -36x + -5x2 = 0 Solving 92 + -36x + -5x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -1x)(46 + 5x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(46 + 5x)' equal to zero and attempt to solve: Simplifying 46 + 5x = 0 Solving 46 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 5x = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 5x = 0 + -46 5x = 0 + -46 Combine like terms: 0 + -46 = -46 5x = -46 Divide each side by '5'. x = -9.2 Simplifying x = -9.2Solution
x = {2, -9.2}
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