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Simplifying 4x2 + -115x + 529 = 0 Reorder the terms: 529 + -115x + 4x2 = 0 Solving 529 + -115x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (23 + -4x)(23 + -1x) = 0Subproblem 1
Set the factor '(23 + -4x)' equal to zero and attempt to solve: Simplifying 23 + -4x = 0 Solving 23 + -4x = 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 + -4x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -4x = 0 + -23 -4x = 0 + -23 Combine like terms: 0 + -23 = -23 -4x = -23 Divide each side by '-4'. x = 5.75 Simplifying x = 5.75Subproblem 2
Set the factor '(23 + -1x)' equal to zero and attempt to solve: Simplifying 23 + -1x = 0 Solving 23 + -1x = 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 + -1x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -1x = 0 + -23 -1x = 0 + -23 Combine like terms: 0 + -23 = -23 -1x = -23 Divide each side by '-1'. x = 23 Simplifying x = 23Solution
x = {5.75, 23}
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