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Simplifying 3x2 = 13x + -14 Reorder the terms: 3x2 = -14 + 13x Solving 3x2 = -14 + 13x Solving for variable 'x'. Reorder the terms: 14 + -13x + 3x2 = -14 + 13x + 14 + -13x Reorder the terms: 14 + -13x + 3x2 = -14 + 14 + 13x + -13x Combine like terms: -14 + 14 = 0 14 + -13x + 3x2 = 0 + 13x + -13x 14 + -13x + 3x2 = 13x + -13x Combine like terms: 13x + -13x = 0 14 + -13x + 3x2 = 0 Factor a trinomial. (2 + -1x)(7 + -3x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333Solution
x = {2, 2.333333333}
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