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Simplifying 400y + -4y2 = 0 Solving 400y + -4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y'. 4y(100 + -1y) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(100 + -1y)' equal to zero and attempt to solve: Simplifying 100 + -1y = 0 Solving 100 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -1y = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -1y = 0 + -100 -1y = 0 + -100 Combine like terms: 0 + -100 = -100 -1y = -100 Divide each side by '-1'. y = 100 Simplifying y = 100Solution
y = {0, 100}
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