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Simplifying 4x2 + 3x + -517 = 0 Reorder the terms: -517 + 3x + 4x2 = 0 Solving -517 + 3x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-47 + -4x)(11 + -1x) = 0Subproblem 1
Set the factor '(-47 + -4x)' equal to zero and attempt to solve: Simplifying -47 + -4x = 0 Solving -47 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + -4x = 0 + 47 Combine like terms: -47 + 47 = 0 0 + -4x = 0 + 47 -4x = 0 + 47 Combine like terms: 0 + 47 = 47 -4x = 47 Divide each side by '-4'. x = -11.75 Simplifying x = -11.75Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {-11.75, 11}
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