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Simplifying 4x2 + -39x + 90 = 684 Reorder the terms: 90 + -39x + 4x2 = 684 Solving 90 + -39x + 4x2 = 684 Solving for variable 'x'. Reorder the terms: 90 + -684 + -39x + 4x2 = 684 + -684 Combine like terms: 90 + -684 = -594 -594 + -39x + 4x2 = 684 + -684 Combine like terms: 684 + -684 = 0 -594 + -39x + 4x2 = 0 Factor a trinomial. (-33 + -4x)(18 + -1x) = 0Subproblem 1
Set the factor '(-33 + -4x)' equal to zero and attempt to solve: Simplifying -33 + -4x = 0 Solving -33 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -4x = 0 + 33 Combine like terms: -33 + 33 = 0 0 + -4x = 0 + 33 -4x = 0 + 33 Combine like terms: 0 + 33 = 33 -4x = 33 Divide each side by '-4'. x = -8.25 Simplifying x = -8.25Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Solution
x = {-8.25, 18}
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