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Simplifying (5y + -2)(9 + -1y) = 0 Reorder the terms: (-2 + 5y)(9 + -1y) = 0 Multiply (-2 + 5y) * (9 + -1y) (-2(9 + -1y) + 5y * (9 + -1y)) = 0 ((9 * -2 + -1y * -2) + 5y * (9 + -1y)) = 0 ((-18 + 2y) + 5y * (9 + -1y)) = 0 (-18 + 2y + (9 * 5y + -1y * 5y)) = 0 (-18 + 2y + (45y + -5y2)) = 0 Combine like terms: 2y + 45y = 47y (-18 + 47y + -5y2) = 0 Solving -18 + 47y + -5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-9 + y)(2 + -5y) = 0Subproblem 1
Set the factor '(-9 + y)' equal to zero and attempt to solve: Simplifying -9 + y = 0 Solving -9 + y = 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 + y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + y = 0 + 9 y = 0 + 9 Combine like terms: 0 + 9 = 9 y = 9 Simplifying y = 9Subproblem 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 = {9, 0.4}
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