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Simplifying 18x2 = 9x + 14 Reorder the terms: 18x2 = 14 + 9x Solving 18x2 = 14 + 9x Solving for variable 'x'. Reorder the terms: -14 + -9x + 18x2 = 14 + 9x + -14 + -9x Reorder the terms: -14 + -9x + 18x2 = 14 + -14 + 9x + -9x Combine like terms: 14 + -14 = 0 -14 + -9x + 18x2 = 0 + 9x + -9x -14 + -9x + 18x2 = 9x + -9x Combine like terms: 9x + -9x = 0 -14 + -9x + 18x2 = 0 Factor a trinomial. (-2 + -3x)(7 + -6x) = 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 + -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 = {-0.6666666667, 1.166666667}
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