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Simplifying -2x2 + 800x = 0 Reorder the terms: 800x + -2x2 = 0 Solving 800x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(400 + -1x) = 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 '(400 + -1x)' equal to zero and attempt to solve: Simplifying 400 + -1x = 0 Solving 400 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-400' to each side of the equation. 400 + -400 + -1x = 0 + -400 Combine like terms: 400 + -400 = 0 0 + -1x = 0 + -400 -1x = 0 + -400 Combine like terms: 0 + -400 = -400 -1x = -400 Divide each side by '-1'. x = 400 Simplifying x = 400Solution
x = {0, 400}
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