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Simplifying 324x2 + 114x + 10 = 0 Reorder the terms: 10 + 114x + 324x2 = 0 Solving 10 + 114x + 324x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(5 + 57x + 162x2) = 0 Factor a trinomial. 2((5 + 27x)(1 + 6x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + 27x)' equal to zero and attempt to solve: Simplifying 5 + 27x = 0 Solving 5 + 27x = 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 + 27x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 27x = 0 + -5 27x = 0 + -5 Combine like terms: 0 + -5 = -5 27x = -5 Divide each side by '27'. x = -0.1851851852 Simplifying x = -0.1851851852Subproblem 2
Set the factor '(1 + 6x)' equal to zero and attempt to solve: Simplifying 1 + 6x = 0 Solving 1 + 6x = 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 + 6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 0 + -1 6x = 0 + -1 Combine like terms: 0 + -1 = -1 6x = -1 Divide each side by '6'. x = -0.1666666667 Simplifying x = -0.1666666667Solution
x = {-0.1851851852, -0.1666666667}
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