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Simplifying 27x2 + 6x + -56 = 0 Reorder the terms: -56 + 6x + 27x2 = 0 Solving -56 + 6x + 27x2 = 0 Solving for variable 'x'. Factor a trinomial. (-14 + -9x)(4 + -3x) = 0Subproblem 1
Set the factor '(-14 + -9x)' equal to zero and attempt to solve: Simplifying -14 + -9x = 0 Solving -14 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -9x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -9x = 0 + 14 -9x = 0 + 14 Combine like terms: 0 + 14 = 14 -9x = 14 Divide each side by '-9'. x = -1.555555556 Simplifying x = -1.555555556Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 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 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {-1.555555556, 1.333333333}
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