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Simplifying 0 = 39x2 + -236x + -483 Reorder the terms: 0 = -483 + -236x + 39x2 Solving 0 = -483 + -236x + 39x2 Solving for variable 'x'. Combine like terms: 0 + 483 = 483 483 + 236x + -39x2 = -483 + -236x + 39x2 + 483 + 236x + -39x2 Reorder the terms: 483 + 236x + -39x2 = -483 + 483 + -236x + 236x + 39x2 + -39x2 Combine like terms: -483 + 483 = 0 483 + 236x + -39x2 = 0 + -236x + 236x + 39x2 + -39x2 483 + 236x + -39x2 = -236x + 236x + 39x2 + -39x2 Combine like terms: -236x + 236x = 0 483 + 236x + -39x2 = 0 + 39x2 + -39x2 483 + 236x + -39x2 = 39x2 + -39x2 Combine like terms: 39x2 + -39x2 = 0 483 + 236x + -39x2 = 0 Factor a trinomial. (23 + -3x)(21 + 13x) = 0Subproblem 1
Set the factor '(23 + -3x)' equal to zero and attempt to solve: Simplifying 23 + -3x = 0 Solving 23 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -3x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -3x = 0 + -23 -3x = 0 + -23 Combine like terms: 0 + -23 = -23 -3x = -23 Divide each side by '-3'. x = 7.666666667 Simplifying x = 7.666666667Subproblem 2
Set the factor '(21 + 13x)' equal to zero and attempt to solve: Simplifying 21 + 13x = 0 Solving 21 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 13x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 13x = 0 + -21 13x = 0 + -21 Combine like terms: 0 + -21 = -21 13x = -21 Divide each side by '13'. x = -1.615384615 Simplifying x = -1.615384615Solution
x = {7.666666667, -1.615384615}
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