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Simplifying -24x2 + 29x + 500 = 0 Reorder the terms: 500 + 29x + -24x2 = 0 Solving 500 + 29x + -24x2 = 0 Solving for variable 'x'. Factor a trinomial. (125 + -24x)(4 + x) = 0Subproblem 1
Set the factor '(125 + -24x)' equal to zero and attempt to solve: Simplifying 125 + -24x = 0 Solving 125 + -24x = 0 Move all terms containing x to the left, all other terms to the right. Add '-125' to each side of the equation. 125 + -125 + -24x = 0 + -125 Combine like terms: 125 + -125 = 0 0 + -24x = 0 + -125 -24x = 0 + -125 Combine like terms: 0 + -125 = -125 -24x = -125 Divide each side by '-24'. x = 5.208333333 Simplifying x = 5.208333333Subproblem 2
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 = -4Solution
x = {5.208333333, -4}
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