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Simplifying 27x2 + 730x + 27 = 0 Reorder the terms: 27 + 730x + 27x2 = 0 Solving 27 + 730x + 27x2 = 0 Solving for variable 'x'. Factor a trinomial. (27 + x)(1 + 27x) = 0Subproblem 1
Set the factor '(27 + x)' equal to zero and attempt to solve: Simplifying 27 + x = 0 Solving 27 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + x = 0 + -27 x = 0 + -27 Combine like terms: 0 + -27 = -27 x = -27 Simplifying x = -27Subproblem 2
Set the factor '(1 + 27x)' equal to zero and attempt to solve: Simplifying 1 + 27x = 0 Solving 1 + 27x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 27x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 27x = 0 + -1 27x = 0 + -1 Combine like terms: 0 + -1 = -1 27x = -1 Divide each side by '27'. x = -0.03703703704 Simplifying x = -0.03703703704Solution
x = {-27, -0.03703703704}
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