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Simplifying 0 = 3x2 + 44x + -6279 Reorder the terms: 0 = -6279 + 44x + 3x2 Solving 0 = -6279 + 44x + 3x2 Solving for variable 'x'. Combine like terms: 0 + 6279 = 6279 6279 + -44x + -3x2 = -6279 + 44x + 3x2 + 6279 + -44x + -3x2 Reorder the terms: 6279 + -44x + -3x2 = -6279 + 6279 + 44x + -44x + 3x2 + -3x2 Combine like terms: -6279 + 6279 = 0 6279 + -44x + -3x2 = 0 + 44x + -44x + 3x2 + -3x2 6279 + -44x + -3x2 = 44x + -44x + 3x2 + -3x2 Combine like terms: 44x + -44x = 0 6279 + -44x + -3x2 = 0 + 3x2 + -3x2 6279 + -44x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 6279 + -44x + -3x2 = 0 Factor a trinomial. (39 + -1x)(161 + 3x) = 0Subproblem 1
Set the factor '(39 + -1x)' equal to zero and attempt to solve: Simplifying 39 + -1x = 0 Solving 39 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -1x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -1x = 0 + -39 -1x = 0 + -39 Combine like terms: 0 + -39 = -39 -1x = -39 Divide each side by '-1'. x = 39 Simplifying x = 39Subproblem 2
Set the factor '(161 + 3x)' equal to zero and attempt to solve: Simplifying 161 + 3x = 0 Solving 161 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-161' to each side of the equation. 161 + -161 + 3x = 0 + -161 Combine like terms: 161 + -161 = 0 0 + 3x = 0 + -161 3x = 0 + -161 Combine like terms: 0 + -161 = -161 3x = -161 Divide each side by '3'. x = -53.66666667 Simplifying x = -53.66666667Solution
x = {39, -53.66666667}
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