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Simplifying 4y2 = -28y Solving 4y2 = -28y Solving for variable 'y'. Reorder the terms: 28y + 4y2 = -28y + 28y Combine like terms: -28y + 28y = 0 28y + 4y2 = 0 Factor out the Greatest Common Factor (GCF), '4y'. 4y(7 + 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 '(7 + y)' equal to zero and attempt to solve: Simplifying 7 + y = 0 Solving 7 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + y = 0 + -7 y = 0 + -7 Combine like terms: 0 + -7 = -7 y = -7 Simplifying y = -7Solution
y = {0, -7}
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