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Simplifying x(12x + 13) = 14 Reorder the terms: x(13 + 12x) = 14 (13 * x + 12x * x) = 14 (13x + 12x2) = 14 Solving 13x + 12x2 = 14 Solving for variable 'x'. Reorder the terms: -14 + 13x + 12x2 = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + 13x + 12x2 = 0 Factor a trinomial. (-7 + -4x)(2 + -3x) = 0Subproblem 1
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 = -1.75Subproblem 2
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 = 0.6666666667Solution
x = {-1.75, 0.6666666667}
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