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Simplifying 10X2 = 48X Solving 10X2 = 48X Solving for variable 'X'. Reorder the terms: -48X + 10X2 = 48X + -48X Combine like terms: 48X + -48X = 0 -48X + 10X2 = 0 Factor out the Greatest Common Factor (GCF), '2X'. 2X(-24 + 5X) = 0 Ignore the factor 2.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 '(-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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