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Simplifying 3x2 = 14x + -8 Reorder the terms: 3x2 = -8 + 14x Solving 3x2 = -8 + 14x Solving for variable 'x'. Reorder the terms: 8 + -14x + 3x2 = -8 + 14x + 8 + -14x Reorder the terms: 8 + -14x + 3x2 = -8 + 8 + 14x + -14x Combine like terms: -8 + 8 = 0 8 + -14x + 3x2 = 0 + 14x + -14x 8 + -14x + 3x2 = 14x + -14x Combine like terms: 14x + -14x = 0 8 + -14x + 3x2 = 0 Factor a trinomial. (2 + -3x)(4 + -1x) = 0Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0.6666666667, 4}
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