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Simplifying 5x + 25x2 + -250x = 0 Reorder the terms: 5x + -250x + 25x2 = 0 Combine like terms: 5x + -250x = -245x -245x + 25x2 = 0 Solving -245x + 25x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(-49 + 5x) = 0 Ignore the factor 5.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 '(-49 + 5x)' equal to zero and attempt to solve: Simplifying -49 + 5x = 0 Solving -49 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 5x = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 5x = 0 + 49 5x = 0 + 49 Combine like terms: 0 + 49 = 49 5x = 49 Divide each side by '5'. x = 9.8 Simplifying x = 9.8Solution
x = {0, 9.8}
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