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Simplifying Y(Y + 6) = 40 Reorder the terms: Y(6 + Y) = 40 (6 * Y + Y * Y) = 40 (6Y + Y2) = 40 Solving 6Y + Y2 = 40 Solving for variable 'Y'. Reorder the terms: -40 + 6Y + Y2 = 40 + -40 Combine like terms: 40 + -40 = 0 -40 + 6Y + Y2 = 0 Factor a trinomial. (-10 + -1Y)(4 + -1Y) = 0Subproblem 1
Set the factor '(-10 + -1Y)' equal to zero and attempt to solve: Simplifying -10 + -1Y = 0 Solving -10 + -1Y = 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 + -1Y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1Y = 0 + 10 -1Y = 0 + 10 Combine like terms: 0 + 10 = 10 -1Y = 10 Divide each side by '-1'. Y = -10 Simplifying Y = -10Subproblem 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 = {-10, 4}
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