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Simplifying (3y2) + -5y + (7y2) + -8y = 0 Reorder the terms: -5y + -8y + (3y2) + (7y2) = 0 Combine like terms: -5y + -8y = -13y -13y + (3y2) + (7y2) = 0 Combine like terms: (3y2) + (7y2) = 10y2 -13y + 10y2 = 0 Solving -13y + 10y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-13 + 10y) = 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 '(-13 + 10y)' equal to zero and attempt to solve: Simplifying -13 + 10y = 0 Solving -13 + 10y = 0 Move all terms containing y to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 10y = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 10y = 0 + 13 10y = 0 + 13 Combine like terms: 0 + 13 = 13 10y = 13 Divide each side by '10'. y = 1.3 Simplifying y = 1.3Solution
y = {0, 1.3}
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