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Simplifying 81x2 + 72x + 15 = 0 Reorder the terms: 15 + 72x + 81x2 = 0 Solving 15 + 72x + 81x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(5 + 24x + 27x2) = 0 Factor a trinomial. 3((5 + 9x)(1 + 3x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(5 + 9x)' equal to zero and attempt to solve: Simplifying 5 + 9x = 0 Solving 5 + 9x = 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 + 9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 0 + -5 9x = 0 + -5 Combine like terms: 0 + -5 = -5 9x = -5 Divide each side by '9'. x = -0.5555555556 Simplifying x = -0.5555555556Subproblem 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 = {-0.5555555556, -0.3333333333}
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