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Simplifying 12x2 = 29x + -14 Reorder the terms: 12x2 = -14 + 29x Solving 12x2 = -14 + 29x Solving for variable 'x'. Reorder the terms: 14 + -29x + 12x2 = -14 + 29x + 14 + -29x Reorder the terms: 14 + -29x + 12x2 = -14 + 14 + 29x + -29x Combine like terms: -14 + 14 = 0 14 + -29x + 12x2 = 0 + 29x + -29x 14 + -29x + 12x2 = 29x + -29x Combine like terms: 29x + -29x = 0 14 + -29x + 12x2 = 0 Factor a trinomial. (2 + -3x)(7 + -4x) = 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 '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 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 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Solution
x = {0.6666666667, 1.75}
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