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Simplifying 0 = 3x2 + 7x + -516 Reorder the terms: 0 = -516 + 7x + 3x2 Solving 0 = -516 + 7x + 3x2 Solving for variable 'x'. Combine like terms: 0 + 516 = 516 516 + -7x + -3x2 = -516 + 7x + 3x2 + 516 + -7x + -3x2 Reorder the terms: 516 + -7x + -3x2 = -516 + 516 + 7x + -7x + 3x2 + -3x2 Combine like terms: -516 + 516 = 0 516 + -7x + -3x2 = 0 + 7x + -7x + 3x2 + -3x2 516 + -7x + -3x2 = 7x + -7x + 3x2 + -3x2 Combine like terms: 7x + -7x = 0 516 + -7x + -3x2 = 0 + 3x2 + -3x2 516 + -7x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 516 + -7x + -3x2 = 0 Factor a trinomial. (12 + -1x)(43 + 3x) = 0Subproblem 1
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Subproblem 2
Set the factor '(43 + 3x)' equal to zero and attempt to solve: Simplifying 43 + 3x = 0 Solving 43 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 3x = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 3x = 0 + -43 3x = 0 + -43 Combine like terms: 0 + -43 = -43 3x = -43 Divide each side by '3'. x = -14.33333333 Simplifying x = -14.33333333Solution
x = {12, -14.33333333}
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