Y(Y+6)=40

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Solution for Y(Y+6)=40 equation:


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) = 0

Subproblem 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 = -10

Subproblem 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 = 4

Solution

Y = {-10, 4}

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