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Simplifying (6y3)(6y8 + 9y7) = 0 Remove parenthesis around (6y3) 6y3(6y8 + 9y7) = 0 Reorder the terms: 6y3(9y7 + 6y8) = 0 (9y7 * 6y3 + 6y8 * 6y3) = 0 (54y10 + 36y11) = 0 Solving 54y10 + 36y11 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '18y10'. 18y10(3 + 2y) = 0 Ignore the factor 18.Subproblem 1
Set the factor 'y10' equal to zero and attempt to solve: Simplifying y10 = 0 Solving y10 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y10 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + 2y)' equal to zero and attempt to solve: Simplifying 3 + 2y = 0 Solving 3 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2y = 0 + -3 2y = 0 + -3 Combine like terms: 0 + -3 = -3 2y = -3 Divide each side by '2'. y = -1.5 Simplifying y = -1.5Solution
y = {-1.5}
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