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Simplifying (6 + -1y)(5y + 2) = 0 Reorder the terms: (6 + -1y)(2 + 5y) = 0 Multiply (6 + -1y) * (2 + 5y) (6(2 + 5y) + -1y * (2 + 5y)) = 0 ((2 * 6 + 5y * 6) + -1y * (2 + 5y)) = 0 ((12 + 30y) + -1y * (2 + 5y)) = 0 (12 + 30y + (2 * -1y + 5y * -1y)) = 0 (12 + 30y + (-2y + -5y2)) = 0 Combine like terms: 30y + -2y = 28y (12 + 28y + -5y2) = 0 Solving 12 + 28y + -5y2 = 0 Solving for variable 'y'. Factor a trinomial. (6 + -1y)(2 + 5y) = 0Subproblem 1
Set the factor '(6 + -1y)' equal to zero and attempt to solve: Simplifying 6 + -1y = 0 Solving 6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 0 + -6 -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6Subproblem 2
Set the factor '(2 + 5y)' equal to zero and attempt to solve: Simplifying 2 + 5y = 0 Solving 2 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5y = 0 + -2 5y = 0 + -2 Combine like terms: 0 + -2 = -2 5y = -2 Divide each side by '5'. y = -0.4 Simplifying y = -0.4Solution
y = {6, -0.4}
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