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Simplifying 3y2 + -2y3 + -7y2 + 5y3 = 0 Reorder the terms: 3y2 + -7y2 + -2y3 + 5y3 = 0 Combine like terms: 3y2 + -7y2 = -4y2 -4y2 + -2y3 + 5y3 = 0 Combine like terms: -2y3 + 5y3 = 3y3 -4y2 + 3y3 = 0 Solving -4y2 + 3y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(-4 + 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 '(-4 + 3y)' equal to zero and attempt to solve: Simplifying -4 + 3y = 0 Solving -4 + 3y = 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 + 3y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3y = 0 + 4 3y = 0 + 4 Combine like terms: 0 + 4 = 4 3y = 4 Divide each side by '3'. y = 1.333333333 Simplifying y = 1.333333333Solution
y = {0, 1.333333333}
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