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Simplifying (y + -6)(4y + -5) = 0 Reorder the terms: (-6 + y)(4y + -5) = 0 Reorder the terms: (-6 + y)(-5 + 4y) = 0 Multiply (-6 + y) * (-5 + 4y) (-6(-5 + 4y) + y(-5 + 4y)) = 0 ((-5 * -6 + 4y * -6) + y(-5 + 4y)) = 0 ((30 + -24y) + y(-5 + 4y)) = 0 (30 + -24y + (-5 * y + 4y * y)) = 0 (30 + -24y + (-5y + 4y2)) = 0 Combine like terms: -24y + -5y = -29y (30 + -29y + 4y2) = 0 Solving 30 + -29y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + -4y)(6 + -1y) = 0Subproblem 1
Set the factor '(5 + -4y)' equal to zero and attempt to solve: Simplifying 5 + -4y = 0 Solving 5 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4y = 0 + -5 -4y = 0 + -5 Combine like terms: 0 + -5 = -5 -4y = -5 Divide each side by '-4'. y = 1.25 Simplifying y = 1.25Subproblem 2
Set the factor '(6 + -1y)' equal to zero and attempt to solve: Simplifying 6 + -1y = 0 Solving 6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 0 + -6 -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6Solution
y = {1.25, 6}
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