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Simplifying (9y + 4)(9y + -10) = 0 Reorder the terms: (4 + 9y)(9y + -10) = 0 Reorder the terms: (4 + 9y)(-10 + 9y) = 0 Multiply (4 + 9y) * (-10 + 9y) (4(-10 + 9y) + 9y * (-10 + 9y)) = 0 ((-10 * 4 + 9y * 4) + 9y * (-10 + 9y)) = 0 ((-40 + 36y) + 9y * (-10 + 9y)) = 0 (-40 + 36y + (-10 * 9y + 9y * 9y)) = 0 (-40 + 36y + (-90y + 81y2)) = 0 Combine like terms: 36y + -90y = -54y (-40 + -54y + 81y2) = 0 Solving -40 + -54y + 81y2 = 0 Solving for variable 'y'. Factor a trinomial. (-4 + -9y)(10 + -9y) = 0Subproblem 1
Set the factor '(-4 + -9y)' equal to zero and attempt to solve: Simplifying -4 + -9y = 0 Solving -4 + -9y = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -9y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -9y = 0 + 4 -9y = 0 + 4 Combine like terms: 0 + 4 = 4 -9y = 4 Divide each side by '-9'. y = -0.4444444444 Simplifying y = -0.4444444444Subproblem 2
Set the factor '(10 + -9y)' equal to zero and attempt to solve: Simplifying 10 + -9y = 0 Solving 10 + -9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -9y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -9y = 0 + -10 -9y = 0 + -10 Combine like terms: 0 + -10 = -10 -9y = -10 Divide each side by '-9'. y = 1.111111111 Simplifying y = 1.111111111Solution
y = {-0.4444444444, 1.111111111}
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