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Simplifying -20x3 + -96x2 = 0 Reorder the terms: -96x2 + -20x3 = 0 Solving -96x2 + -20x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-4x2'. -4x2(24 + 5x) = 0 Ignore the factor -4.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(24 + 5x)' equal to zero and attempt to solve: Simplifying 24 + 5x = 0 Solving 24 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 5x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 5x = 0 + -24 5x = 0 + -24 Combine like terms: 0 + -24 = -24 5x = -24 Divide each side by '5'. x = -4.8 Simplifying x = -4.8Solution
x = {0, -4.8}
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