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Simplifying 3X2 + 7X = 516 Reorder the terms: 7X + 3X2 = 516 Solving 7X + 3X2 = 516 Solving for variable 'X'. Reorder the terms: -516 + 7X + 3X2 = 516 + -516 Combine like terms: 516 + -516 = 0 -516 + 7X + 3X2 = 0 Factor a trinomial. (-43 + -3X)(12 + -1X) = 0Subproblem 1
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 = -14.33333333Subproblem 2
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 = 12Solution
X = {-14.33333333, 12}
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