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Simplifying (11y + 2)(y + -4) = 0 Reorder the terms: (2 + 11y)(y + -4) = 0 Reorder the terms: (2 + 11y)(-4 + y) = 0 Multiply (2 + 11y) * (-4 + y) (2(-4 + y) + 11y * (-4 + y)) = 0 ((-4 * 2 + y * 2) + 11y * (-4 + y)) = 0 ((-8 + 2y) + 11y * (-4 + y)) = 0 (-8 + 2y + (-4 * 11y + y * 11y)) = 0 (-8 + 2y + (-44y + 11y2)) = 0 Combine like terms: 2y + -44y = -42y (-8 + -42y + 11y2) = 0 Solving -8 + -42y + 11y2 = 0 Solving for variable 'y'. Factor a trinomial. (-2 + -11y)(4 + -1y) = 0Subproblem 1
Set the factor '(-2 + -11y)' equal to zero and attempt to solve: Simplifying -2 + -11y = 0 Solving -2 + -11y = 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 + -11y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -11y = 0 + 2 -11y = 0 + 2 Combine like terms: 0 + 2 = 2 -11y = 2 Divide each side by '-11'. y = -0.1818181818 Simplifying y = -0.1818181818Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 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 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Solution
y = {-0.1818181818, 4}
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