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Simplifying (8y + 2)(9y + 3) = 6 Reorder the terms: (2 + 8y)(9y + 3) = 6 Reorder the terms: (2 + 8y)(3 + 9y) = 6 Multiply (2 + 8y) * (3 + 9y) (2(3 + 9y) + 8y * (3 + 9y)) = 6 ((3 * 2 + 9y * 2) + 8y * (3 + 9y)) = 6 ((6 + 18y) + 8y * (3 + 9y)) = 6 (6 + 18y + (3 * 8y + 9y * 8y)) = 6 (6 + 18y + (24y + 72y2)) = 6 Combine like terms: 18y + 24y = 42y (6 + 42y + 72y2) = 6 Add '-6' to each side of the equation. 6 + 42y + -6 + 72y2 = 6 + -6 Reorder the terms: 6 + -6 + 42y + 72y2 = 6 + -6 Combine like terms: 6 + -6 = 0 0 + 42y + 72y2 = 6 + -6 42y + 72y2 = 6 + -6 Combine like terms: 6 + -6 = 0 42y + 72y2 = 0 Solving 42y + 72y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '6y'. 6y(7 + 12y) = 0 Ignore the factor 6.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 '(7 + 12y)' equal to zero and attempt to solve: Simplifying 7 + 12y = 0 Solving 7 + 12y = 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 + 12y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 12y = 0 + -7 12y = 0 + -7 Combine like terms: 0 + -7 = -7 12y = -7 Divide each side by '12'. y = -0.5833333333 Simplifying y = -0.5833333333Solution
y = {0, -0.5833333333}
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