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Simplifying (1 + -1y)(4y + -9) = 0 Reorder the terms: (1 + -1y)(-9 + 4y) = 0 Multiply (1 + -1y) * (-9 + 4y) (1(-9 + 4y) + -1y * (-9 + 4y)) = 0 ((-9 * 1 + 4y * 1) + -1y * (-9 + 4y)) = 0 ((-9 + 4y) + -1y * (-9 + 4y)) = 0 (-9 + 4y + (-9 * -1y + 4y * -1y)) = 0 (-9 + 4y + (9y + -4y2)) = 0 Combine like terms: 4y + 9y = 13y (-9 + 13y + -4y2) = 0 Solving -9 + 13y + -4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-9 + 4y)(1 + -1y) = 0Subproblem 1
Set the factor '(-9 + 4y)' equal to zero and attempt to solve: Simplifying -9 + 4y = 0 Solving -9 + 4y = 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 + 4y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4y = 0 + 9 4y = 0 + 9 Combine like terms: 0 + 9 = 9 4y = 9 Divide each side by '4'. y = 2.25 Simplifying y = 2.25Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 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 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Solution
y = {2.25, 1}
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