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Simplifying 4y2 + 100y = 0 Reorder the terms: 100y + 4y2 = 0 Solving 100y + 4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y'. 4y(25 + y) = 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 '(25 + y)' equal to zero and attempt to solve: Simplifying 25 + y = 0 Solving 25 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + y = 0 + -25 Combine like terms: 25 + -25 = 0 0 + y = 0 + -25 y = 0 + -25 Combine like terms: 0 + -25 = -25 y = -25 Simplifying y = -25Solution
y = {0, -25}
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