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Simplifying 4x2 + -13x + -116 = 0 Reorder the terms: -116 + -13x + 4x2 = 0 Solving -116 + -13x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x)(29 + -4x) = 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 '(29 + -4x)' equal to zero and attempt to solve: Simplifying 29 + -4x = 0 Solving 29 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -4x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -4x = 0 + -29 -4x = 0 + -29 Combine like terms: 0 + -29 = -29 -4x = -29 Divide each side by '-4'. x = 7.25 Simplifying x = 7.25Solution
x = {-4, 7.25}
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