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Simplifying 2x + 62x(3x + 10) = 0 Reorder the terms: 2x + 62x(10 + 3x) = 0 2x + (10 * 62x + 3x * 62x) = 0 2x + (620x + 186x2) = 0 Combine like terms: 2x + 620x = 622x 622x + 186x2 = 0 Solving 622x + 186x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(311 + 93x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(311 + 93x)' equal to zero and attempt to solve: Simplifying 311 + 93x = 0 Solving 311 + 93x = 0 Move all terms containing x to the left, all other terms to the right. Add '-311' to each side of the equation. 311 + -311 + 93x = 0 + -311 Combine like terms: 311 + -311 = 0 0 + 93x = 0 + -311 93x = 0 + -311 Combine like terms: 0 + -311 = -311 93x = -311 Divide each side by '93'. x = -3.344086022 Simplifying x = -3.344086022Solution
x = {0, -3.344086022}
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