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Simplifying 24x2 = 200x Solving 24x2 = 200x Solving for variable 'x'. Reorder the terms: -200x + 24x2 = 200x + -200x Combine like terms: 200x + -200x = 0 -200x + 24x2 = 0 Factor out the Greatest Common Factor (GCF), '8x'. 8x(-25 + 3x) = 0 Ignore the factor 8.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 '(-25 + 3x)' equal to zero and attempt to solve: Simplifying -25 + 3x = 0 Solving -25 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 3x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 3x = 0 + 25 3x = 0 + 25 Combine like terms: 0 + 25 = 25 3x = 25 Divide each side by '3'. x = 8.333333333 Simplifying x = 8.333333333Solution
x = {0, 8.333333333}
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