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Simplifying 9x2 + 27x + 1 = -19 Reorder the terms: 1 + 27x + 9x2 = -19 Solving 1 + 27x + 9x2 = -19 Solving for variable 'x'. Reorder the terms: 1 + 19 + 27x + 9x2 = -19 + 19 Combine like terms: 1 + 19 = 20 20 + 27x + 9x2 = -19 + 19 Combine like terms: -19 + 19 = 0 20 + 27x + 9x2 = 0 Factor a trinomial. (5 + 3x)(4 + 3x) = 0Subproblem 1
Set the factor '(5 + 3x)' equal to zero and attempt to solve: Simplifying 5 + 3x = 0 Solving 5 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667Subproblem 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 = {-1.666666667, -1.333333333}
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