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Simplifying 2x2 + -250x + 2x2 = 0 Reorder the terms: -250x + 2x2 + 2x2 = 0 Combine like terms: 2x2 + 2x2 = 4x2 -250x + 4x2 = 0 Solving -250x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-125 + 2x) = 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 '(-125 + 2x)' equal to zero and attempt to solve: Simplifying -125 + 2x = 0 Solving -125 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + 2x = 0 + 125 Combine like terms: -125 + 125 = 0 0 + 2x = 0 + 125 2x = 0 + 125 Combine like terms: 0 + 125 = 125 2x = 125 Divide each side by '2'. x = 62.5 Simplifying x = 62.5Solution
x = {0, 62.5}
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