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Simplifying 8y(y + -7) + 52y = 0 Reorder the terms: 8y(-7 + y) + 52y = 0 (-7 * 8y + y * 8y) + 52y = 0 (-56y + 8y2) + 52y = 0 Reorder the terms: -56y + 52y + 8y2 = 0 Combine like terms: -56y + 52y = -4y -4y + 8y2 = 0 Solving -4y + 8y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y'. 4y(-1 + 2y) = 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 '(-1 + 2y)' equal to zero and attempt to solve: Simplifying -1 + 2y = 0 Solving -1 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2y = 0 + 1 2y = 0 + 1 Combine like terms: 0 + 1 = 1 2y = 1 Divide each side by '2'. y = 0.5 Simplifying y = 0.5Solution
y = {0, 0.5}
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