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Simplifying (21y + 7)(9y + 1) = 0 Reorder the terms: (7 + 21y)(9y + 1) = 0 Reorder the terms: (7 + 21y)(1 + 9y) = 0 Multiply (7 + 21y) * (1 + 9y) (7(1 + 9y) + 21y * (1 + 9y)) = 0 ((1 * 7 + 9y * 7) + 21y * (1 + 9y)) = 0 ((7 + 63y) + 21y * (1 + 9y)) = 0 (7 + 63y + (1 * 21y + 9y * 21y)) = 0 (7 + 63y + (21y + 189y2)) = 0 Combine like terms: 63y + 21y = 84y (7 + 84y + 189y2) = 0 Solving 7 + 84y + 189y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '7'. 7(1 + 12y + 27y2) = 0 Factor a trinomial. 7((1 + 3y)(1 + 9y)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(1 + 3y)' equal to zero and attempt to solve: Simplifying 1 + 3y = 0 Solving 1 + 3y = 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 + 3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3y = 0 + -1 3y = 0 + -1 Combine like terms: 0 + -1 = -1 3y = -1 Divide each side by '3'. y = -0.3333333333 Simplifying y = -0.3333333333Subproblem 2
Set the factor '(1 + 9y)' equal to zero and attempt to solve: Simplifying 1 + 9y = 0 Solving 1 + 9y = 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 + 9y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9y = 0 + -1 9y = 0 + -1 Combine like terms: 0 + -1 = -1 9y = -1 Divide each side by '9'. y = -0.1111111111 Simplifying y = -0.1111111111Solution
y = {-0.3333333333, -0.1111111111}
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