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Simplifying 5x2 + 4x + -107 = -11 Reorder the terms: -107 + 4x + 5x2 = -11 Solving -107 + 4x + 5x2 = -11 Solving for variable 'x'. Reorder the terms: -107 + 11 + 4x + 5x2 = -11 + 11 Combine like terms: -107 + 11 = -96 -96 + 4x + 5x2 = -11 + 11 Combine like terms: -11 + 11 = 0 -96 + 4x + 5x2 = 0 Factor a trinomial. (-24 + -5x)(4 + -1x) = 0Subproblem 1
Set the factor '(-24 + -5x)' equal to zero and attempt to solve: Simplifying -24 + -5x = 0 Solving -24 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -5x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -5x = 0 + 24 -5x = 0 + 24 Combine like terms: 0 + 24 = 24 -5x = 24 Divide each side by '-5'. x = -4.8 Simplifying x = -4.8Subproblem 2
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 = 4Solution
x = {-4.8, 4}
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