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Simplifying 3y2 + -2y3 + -5y2 + 5y3 = 0 Reorder the terms: 3y2 + -5y2 + -2y3 + 5y3 = 0 Combine like terms: 3y2 + -5y2 = -2y2 -2y2 + -2y3 + 5y3 = 0 Combine like terms: -2y3 + 5y3 = 3y3 -2y2 + 3y3 = 0 Solving -2y2 + 3y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(-2 + 3y) = 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 '(-2 + 3y)' equal to zero and attempt to solve: Simplifying -2 + 3y = 0 Solving -2 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3y = 0 + 2 3y = 0 + 2 Combine like terms: 0 + 2 = 2 3y = 2 Divide each side by '3'. y = 0.6666666667 Simplifying y = 0.6666666667Solution
y = {0, 0.6666666667}
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