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Simplifying 3y2 + -2y + 7y2 + -6y = 0 Reorder the terms: -2y + -6y + 3y2 + 7y2 = 0 Combine like terms: -2y + -6y = -8y -8y + 3y2 + 7y2 = 0 Combine like terms: 3y2 + 7y2 = 10y2 -8y + 10y2 = 0 Solving -8y + 10y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(-4 + 5y) = 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 '(-4 + 5y)' equal to zero and attempt to solve: Simplifying -4 + 5y = 0 Solving -4 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5y = 0 + 4 5y = 0 + 4 Combine like terms: 0 + 4 = 4 5y = 4 Divide each side by '5'. y = 0.8 Simplifying y = 0.8Solution
y = {0, 0.8}
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