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Simplifying 14 = x(6x + -5) Reorder the terms: 14 = x(-5 + 6x) 14 = (-5 * x + 6x * x) 14 = (-5x + 6x2) Solving 14 = -5x + 6x2 Solving for variable 'x'. Reorder the terms: 14 + 5x + -6x2 = -5x + 5x + 6x2 + -6x2 Combine like terms: -5x + 5x = 0 14 + 5x + -6x2 = 0 + 6x2 + -6x2 14 + 5x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 14 + 5x + -6x2 = 0 Factor a trinomial. (2 + -1x)(7 + 6x) = 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 + 6x)' equal to zero and attempt to solve: Simplifying 7 + 6x = 0 Solving 7 + 6x = 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 + 6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 0 + -7 6x = 0 + -7 Combine like terms: 0 + -7 = -7 6x = -7 Divide each side by '6'. x = -1.166666667 Simplifying x = -1.166666667Solution
x = {2, -1.166666667}
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