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Simplifying 49x2 = 24x(50 + -24x) 49x2 = (50 * 24x + -24x * 24x) 49x2 = (1200x + -576x2) Solving 49x2 = 1200x + -576x2 Solving for variable 'x'. Reorder the terms: -1200x + 49x2 + 576x2 = 1200x + -576x2 + -1200x + 576x2 Combine like terms: 49x2 + 576x2 = 625x2 -1200x + 625x2 = 1200x + -576x2 + -1200x + 576x2 Reorder the terms: -1200x + 625x2 = 1200x + -1200x + -576x2 + 576x2 Combine like terms: 1200x + -1200x = 0 -1200x + 625x2 = 0 + -576x2 + 576x2 -1200x + 625x2 = -576x2 + 576x2 Combine like terms: -576x2 + 576x2 = 0 -1200x + 625x2 = 0 Factor out the Greatest Common Factor (GCF), '25x'. 25x(-48 + 25x) = 0 Ignore the factor 25.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 '(-48 + 25x)' equal to zero and attempt to solve: Simplifying -48 + 25x = 0 Solving -48 + 25x = 0 Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 25x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 25x = 0 + 48 25x = 0 + 48 Combine like terms: 0 + 48 = 48 25x = 48 Divide each side by '25'. x = 1.92 Simplifying x = 1.92Solution
x = {0, 1.92}
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