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Simplifying x2 + (2x + 1) * x = 0 Reorder the terms: x2 + (1 + 2x) * x = 0 Reorder the terms for easier multiplication: x2 + x(1 + 2x) = 0 x2 + (1 * x + 2x * x) = 0 x2 + (1x + 2x2) = 0 Reorder the terms: 1x + x2 + 2x2 = 0 Combine like terms: x2 + 2x2 = 3x2 1x + 3x2 = 0 Solving 1x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(1 + 3x) = 0Subproblem 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 '(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, -0.3333333333}
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