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Simplifying 8y2 + -10y = 2y Reorder the terms: -10y + 8y2 = 2y Solving -10y + 8y2 = 2y Solving for variable 'y'. Reorder the terms: -10y + -2y + 8y2 = 2y + -2y Combine like terms: -10y + -2y = -12y -12y + 8y2 = 2y + -2y Combine like terms: 2y + -2y = 0 -12y + 8y2 = 0 Factor out the Greatest Common Factor (GCF), '4y'. 4y(-3 + 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 '(-3 + 2y)' equal to zero and attempt to solve: Simplifying -3 + 2y = 0 Solving -3 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2y = 0 + 3 2y = 0 + 3 Combine like terms: 0 + 3 = 3 2y = 3 Divide each side by '2'. y = 1.5 Simplifying y = 1.5Solution
y = {0, 1.5}
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