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Simplifying 3y2 + -2y3 + -6y2 + 7y3 = 0 Reorder the terms: 3y2 + -6y2 + -2y3 + 7y3 = 0 Combine like terms: 3y2 + -6y2 = -3y2 -3y2 + -2y3 + 7y3 = 0 Combine like terms: -2y3 + 7y3 = 5y3 -3y2 + 5y3 = 0 Solving -3y2 + 5y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(-3 + 5y) = 0Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}Subproblem 2
Set the factor '(-3 + 5y)' equal to zero and attempt to solve: Simplifying -3 + 5y = 0 Solving -3 + 5y = 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 + 5y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5y = 0 + 3 5y = 0 + 3 Combine like terms: 0 + 3 = 3 5y = 3 Divide each side by '5'. y = 0.6 Simplifying y = 0.6Solution
y = {0, 0.6}
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