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Simplifying 2y3 + 3y2 = -1y2 Reorder the terms: 3y2 + 2y3 = -1y2 Solving 3y2 + 2y3 = -1y2 Solving for variable 'y'. Reorder the terms: 3y2 + y2 + 2y3 = -1y2 + y2 Combine like terms: 3y2 + y2 = 4y2 4y2 + 2y3 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 4y2 + 2y3 = 0 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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