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Simplifying 3y2 + -6y + 5y2 + -4y = 0 Reorder the terms: -6y + -4y + 3y2 + 5y2 = 0 Combine like terms: -6y + -4y = -10y -10y + 3y2 + 5y2 = 0 Combine like terms: 3y2 + 5y2 = 8y2 -10y + 8y2 = 0 Solving -10y + 8y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(-5 + 4y) = 0 Ignore the factor 2.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 + 4y)' equal to zero and attempt to solve: Simplifying -5 + 4y = 0 Solving -5 + 4y = 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 + 4y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4y = 0 + 5 4y = 0 + 5 Combine like terms: 0 + 5 = 5 4y = 5 Divide each side by '4'. y = 1.25 Simplifying y = 1.25Solution
y = {0, 1.25}
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