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Simplifying (6y3 + 4y2 + -6) + (3y3 + 3y2 + 6) = 0 Reorder the terms: (-6 + 4y2 + 6y3) + (3y3 + 3y2 + 6) = 0 Remove parenthesis around (-6 + 4y2 + 6y3) -6 + 4y2 + 6y3 + (3y3 + 3y2 + 6) = 0 Reorder the terms: -6 + 4y2 + 6y3 + (6 + 3y2 + 3y3) = 0 Remove parenthesis around (6 + 3y2 + 3y3) -6 + 4y2 + 6y3 + 6 + 3y2 + 3y3 = 0 Reorder the terms: -6 + 6 + 4y2 + 3y2 + 6y3 + 3y3 = 0 Combine like terms: -6 + 6 = 0 0 + 4y2 + 3y2 + 6y3 + 3y3 = 0 4y2 + 3y2 + 6y3 + 3y3 = 0 Combine like terms: 4y2 + 3y2 = 7y2 7y2 + 6y3 + 3y3 = 0 Combine like terms: 6y3 + 3y3 = 9y3 7y2 + 9y3 = 0 Solving 7y2 + 9y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(7 + 9y) = 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 '(7 + 9y)' equal to zero and attempt to solve: Simplifying 7 + 9y = 0 Solving 7 + 9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9y = 0 + -7 9y = 0 + -7 Combine like terms: 0 + -7 = -7 9y = -7 Divide each side by '9'. y = -0.7777777778 Simplifying y = -0.7777777778Solution
y = {0, -0.7777777778}
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