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Simplifying 5x2 + -4x + -96 = 0 Reorder the terms: -96 + -4x + 5x2 = 0 Solving -96 + -4x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x)(24 + -5x) = 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 '(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 = 4.8Solution
x = {-4, 4.8}
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