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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. (-7 + -6x)(2 + -3x) = 0Subproblem 1
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 = -1.166666667Subproblem 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 = {-1.166666667, 0.6666666667}
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