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Simplifying 27x2 + -3x + -9 = 5 Reorder the terms: -9 + -3x + 27x2 = 5 Solving -9 + -3x + 27x2 = 5 Solving for variable 'x'. Reorder the terms: -9 + -5 + -3x + 27x2 = 5 + -5 Combine like terms: -9 + -5 = -14 -14 + -3x + 27x2 = 5 + -5 Combine like terms: 5 + -5 = 0 -14 + -3x + 27x2 = 0 Factor a trinomial. (-2 + -3x)(7 + -9x) = 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 + -9x)' equal to zero and attempt to solve: Simplifying 7 + -9x = 0 Solving 7 + -9x = 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 + -9x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = 0 + -7 -9x = 0 + -7 Combine like terms: 0 + -7 = -7 -9x = -7 Divide each side by '-9'. x = 0.7777777778 Simplifying x = 0.7777777778Solution
x = {-0.6666666667, 0.7777777778}
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