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Simplifying 0 = 5x2 + -27x + -18 Reorder the terms: 0 = -18 + -27x + 5x2 Solving 0 = -18 + -27x + 5x2 Solving for variable 'x'. Combine like terms: 0 + 18 = 18 18 + 27x + -5x2 = -18 + -27x + 5x2 + 18 + 27x + -5x2 Reorder the terms: 18 + 27x + -5x2 = -18 + 18 + -27x + 27x + 5x2 + -5x2 Combine like terms: -18 + 18 = 0 18 + 27x + -5x2 = 0 + -27x + 27x + 5x2 + -5x2 18 + 27x + -5x2 = -27x + 27x + 5x2 + -5x2 Combine like terms: -27x + 27x = 0 18 + 27x + -5x2 = 0 + 5x2 + -5x2 18 + 27x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 18 + 27x + -5x2 = 0 Factor a trinomial. (6 + -1x)(3 + 5x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6Solution
x = {6, -0.6}
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