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Simplifying 9x2 + 63x + 20 = 0 Reorder the terms: 20 + 63x + 9x2 = 0 Solving 20 + 63x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (20 + 3x)(1 + 3x) = 0Subproblem 1
Set the factor '(20 + 3x)' equal to zero and attempt to solve: Simplifying 20 + 3x = 0 Solving 20 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 3x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = 0 + -20 3x = 0 + -20 Combine like terms: 0 + -20 = -20 3x = -20 Divide each side by '3'. x = -6.666666667 Simplifying x = -6.666666667Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Solution
x = {-6.666666667, -0.3333333333}
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