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Simplifying (1 + -6y)(9 + -2y) = 0 Multiply (1 + -6y) * (9 + -2y) (1(9 + -2y) + -6y * (9 + -2y)) = 0 ((9 * 1 + -2y * 1) + -6y * (9 + -2y)) = 0 ((9 + -2y) + -6y * (9 + -2y)) = 0 (9 + -2y + (9 * -6y + -2y * -6y)) = 0 (9 + -2y + (-54y + 12y2)) = 0 Combine like terms: -2y + -54y = -56y (9 + -56y + 12y2) = 0 Solving 9 + -56y + 12y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -6y)(9 + -2y) = 0Subproblem 1
Set the factor '(1 + -6y)' equal to zero and attempt to solve: Simplifying 1 + -6y = 0 Solving 1 + -6y = 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 + -6y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6y = 0 + -1 -6y = 0 + -1 Combine like terms: 0 + -1 = -1 -6y = -1 Divide each side by '-6'. y = 0.1666666667 Simplifying y = 0.1666666667Subproblem 2
Set the factor '(9 + -2y)' equal to zero and attempt to solve: Simplifying 9 + -2y = 0 Solving 9 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2y = 0 + -9 -2y = 0 + -9 Combine like terms: 0 + -9 = -9 -2y = -9 Divide each side by '-2'. y = 4.5 Simplifying y = 4.5Solution
y = {0.1666666667, 4.5}
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