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Simplifying x(8x + 13) = 0 Reorder the terms: x(13 + 8x) = 0 (13 * x + 8x * x) = 0 (13x + 8x2) = 0 Solving 13x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(13 + 8x) = 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 '(13 + 8x)' equal to zero and attempt to solve: Simplifying 13 + 8x = 0 Solving 13 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 8x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 8x = 0 + -13 8x = 0 + -13 Combine like terms: 0 + -13 = -13 8x = -13 Divide each side by '8'. x = -1.625 Simplifying x = -1.625Solution
x = {0, -1.625}
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