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Simplifying (3y2 + -2y) + (5y2 + 6y) = 0 Reorder the terms: (-2y + 3y2) + (5y2 + 6y) = 0 Remove parenthesis around (-2y + 3y2) -2y + 3y2 + (5y2 + 6y) = 0 Reorder the terms: -2y + 3y2 + (6y + 5y2) = 0 Remove parenthesis around (6y + 5y2) -2y + 3y2 + 6y + 5y2 = 0 Reorder the terms: -2y + 6y + 3y2 + 5y2 = 0 Combine like terms: -2y + 6y = 4y 4y + 3y2 + 5y2 = 0 Combine like terms: 3y2 + 5y2 = 8y2 4y + 8y2 = 0 Solving 4y + 8y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y'. 4y(1 + 2y) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(1 + 2y)' equal to zero and attempt to solve: Simplifying 1 + 2y = 0 Solving 1 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2y = 0 + -1 2y = 0 + -1 Combine like terms: 0 + -1 = -1 2y = -1 Divide each side by '2'. y = -0.5 Simplifying y = -0.5Solution
y = {0, -0.5}
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