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Simplifying (3x + 16) * x = 0 Reorder the terms: (16 + 3x) * x = 0 Reorder the terms for easier multiplication: x(16 + 3x) = 0 (16 * x + 3x * x) = 0 (16x + 3x2) = 0 Solving 16x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(16 + 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 '(16 + 3x)' equal to zero and attempt to solve: Simplifying 16 + 3x = 0 Solving 16 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 3x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 3x = 0 + -16 3x = 0 + -16 Combine like terms: 0 + -16 = -16 3x = -16 Divide each side by '3'. x = -5.333333333 Simplifying x = -5.333333333Solution
x = {0, -5.333333333}
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