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Simplifying 4x2 + -39x + -94 = 0 Reorder the terms: -94 + -39x + 4x2 = 0 Solving -94 + -39x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(47 + -4x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
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 = 11.75Solution
x = {-2, 11.75}
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