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Simplifying 8y(y + -4) + 3y(y + 2) = 0 Reorder the terms: 8y(-4 + y) + 3y(y + 2) = 0 (-4 * 8y + y * 8y) + 3y(y + 2) = 0 (-32y + 8y2) + 3y(y + 2) = 0 Reorder the terms: -32y + 8y2 + 3y(2 + y) = 0 -32y + 8y2 + (2 * 3y + y * 3y) = 0 -32y + 8y2 + (6y + 3y2) = 0 Reorder the terms: -32y + 6y + 8y2 + 3y2 = 0 Combine like terms: -32y + 6y = -26y -26y + 8y2 + 3y2 = 0 Combine like terms: 8y2 + 3y2 = 11y2 -26y + 11y2 = 0 Solving -26y + 11y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-26 + 11y) = 0Subproblem 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 '(-26 + 11y)' equal to zero and attempt to solve: Simplifying -26 + 11y = 0 Solving -26 + 11y = 0 Move all terms containing y to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 11y = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 11y = 0 + 26 11y = 0 + 26 Combine like terms: 0 + 26 = 26 11y = 26 Divide each side by '11'. y = 2.363636364 Simplifying y = 2.363636364Solution
y = {0, 2.363636364}
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