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Simplifying 27x2 = 30x + -8 Reorder the terms: 27x2 = -8 + 30x Solving 27x2 = -8 + 30x Solving for variable 'x'. Reorder the terms: 8 + -30x + 27x2 = -8 + 30x + 8 + -30x Reorder the terms: 8 + -30x + 27x2 = -8 + 8 + 30x + -30x Combine like terms: -8 + 8 = 0 8 + -30x + 27x2 = 0 + 30x + -30x 8 + -30x + 27x2 = 30x + -30x Combine like terms: 30x + -30x = 0 8 + -30x + 27x2 = 0 Factor a trinomial. (4 + -9x)(2 + -3x) = 0Subproblem 1
Set the factor '(4 + -9x)' equal to zero and attempt to solve: Simplifying 4 + -9x = 0 Solving 4 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 0 + -4 -9x = 0 + -4 Combine like terms: 0 + -4 = -4 -9x = -4 Divide each side by '-9'. x = 0.4444444444 Simplifying x = 0.4444444444Subproblem 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 = {0.4444444444, 0.6666666667}
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