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Simplifying 2y2 + -5y3 + -6y2 + 7y3 = 0 Reorder the terms: 2y2 + -6y2 + -5y3 + 7y3 = 0 Combine like terms: 2y2 + -6y2 = -4y2 -4y2 + -5y3 + 7y3 = 0 Combine like terms: -5y3 + 7y3 = 2y3 -4y2 + 2y3 = 0 Solving -4y2 + 2y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y2'. 2y2(-2 + y) = 0 Ignore the factor 2.Subproblem 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 + y)' equal to zero and attempt to solve: Simplifying -2 + y = 0 Solving -2 + y = 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 + y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y = 0 + 2 y = 0 + 2 Combine like terms: 0 + 2 = 2 y = 2 Simplifying y = 2Solution
y = {0, 2}
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