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Simplifying 27x2 + -168x + -80 = 0 Reorder the terms: -80 + -168x + 27x2 = 0 Solving -80 + -168x + 27x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -9x)(20 + -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 '(20 + -3x)' equal to zero and attempt to solve: Simplifying 20 + -3x = 0 Solving 20 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -3x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -3x = 0 + -20 -3x = 0 + -20 Combine like terms: 0 + -20 = -20 -3x = -20 Divide each side by '-3'. x = 6.666666667 Simplifying x = 6.666666667Solution
x = {-0.4444444444, 6.666666667}
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