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Simplifying (9 + -1y)(4y + -2) = 0 Reorder the terms: (9 + -1y)(-2 + 4y) = 0 Multiply (9 + -1y) * (-2 + 4y) (9(-2 + 4y) + -1y * (-2 + 4y)) = 0 ((-2 * 9 + 4y * 9) + -1y * (-2 + 4y)) = 0 ((-18 + 36y) + -1y * (-2 + 4y)) = 0 (-18 + 36y + (-2 * -1y + 4y * -1y)) = 0 (-18 + 36y + (2y + -4y2)) = 0 Combine like terms: 36y + 2y = 38y (-18 + 38y + -4y2) = 0 Solving -18 + 38y + -4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + 19y + -2y2) = 0 Factor a trinomial. 2((-9 + y)(1 + -2y)) = 0 Ignore the factor 2.Subproblem 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 '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 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 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Solution
y = {9, 0.5}
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