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Simplifying 4y2 + 20y + 25 = 25 Reorder the terms: 25 + 20y + 4y2 = 25 Add '-25' to each side of the equation. 25 + 20y + -25 + 4y2 = 25 + -25 Reorder the terms: 25 + -25 + 20y + 4y2 = 25 + -25 Combine like terms: 25 + -25 = 0 0 + 20y + 4y2 = 25 + -25 20y + 4y2 = 25 + -25 Combine like terms: 25 + -25 = 0 20y + 4y2 = 0 Solving 20y + 4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y'. 4y(5 + 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 '(5 + y)' equal to zero and attempt to solve: Simplifying 5 + y = 0 Solving 5 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y = 0 + -5 y = 0 + -5 Combine like terms: 0 + -5 = -5 y = -5 Simplifying y = -5Solution
y = {0, -5}
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