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Simplifying 24336 + x2 = 0.25x + 24336 Reorder the terms: 24336 + x2 = 24336 + 0.25x Add '-24336' to each side of the equation. 24336 + -24336 + x2 = 24336 + -24336 + 0.25x Combine like terms: 24336 + -24336 = 0 0 + x2 = 24336 + -24336 + 0.25x x2 = 24336 + -24336 + 0.25x Combine like terms: 24336 + -24336 = 0 x2 = 0 + 0.25x x2 = 0.25x Solving x2 = 0.25x Solving for variable 'x'. Reorder the terms: -0.25x + x2 = 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 -0.25x + x2 = 0.00 Factor out the Greatest Common Factor (GCF), 'x'. x(-0.25 + x) = 0.00Subproblem 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 '(-0.25 + x)' equal to zero and attempt to solve: Simplifying -0.25 + x = 0 Solving -0.25 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '0.25' to each side of the equation. -0.25 + 0.25 + x = 0 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + x = 0 + 0.25 x = 0 + 0.25 Combine like terms: 0 + 0.25 = 0.25 x = 0.25 Simplifying x = 0.25Solution
x = {0, 0.25}
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