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Simplifying (30 + -3X) * X = 0 Reorder the terms for easier multiplication: X(30 + -3X) = 0 (30 * X + -3X * X) = 0 (30X + -3X2) = 0 Solving 30X + -3X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '3X'. 3X(10 + -1X) = 0 Ignore the factor 3.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 '(10 + -1X)' equal to zero and attempt to solve: Simplifying 10 + -1X = 0 Solving 10 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1X = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1X = 0 + -10 -1X = 0 + -10 Combine like terms: 0 + -10 = -10 -1X = -10 Divide each side by '-1'. X = 10 Simplifying X = 10Solution
X = {0, 10}
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