(9+y)(4y+1)=0

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Solution for (9+y)(4y+1)=0 equation:


Simplifying
(9 + y)(4y + 1) = 0

Reorder the terms:
(9 + y)(1 + 4y) = 0

Multiply (9 + y) * (1 + 4y)
(9(1 + 4y) + y(1 + 4y)) = 0
((1 * 9 + 4y * 9) + y(1 + 4y)) = 0
((9 + 36y) + y(1 + 4y)) = 0
(9 + 36y + (1 * y + 4y * y)) = 0
(9 + 36y + (1y + 4y2)) = 0

Combine like terms: 36y + 1y = 37y
(9 + 37y + 4y2) = 0

Solving
9 + 37y + 4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(9 + y)(1 + 4y) = 0

Subproblem 1

Set the factor '(9 + y)' equal to zero and attempt to solve: Simplifying 9 + y = 0 Solving 9 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + y = 0 + -9 y = 0 + -9 Combine like terms: 0 + -9 = -9 y = -9 Simplifying y = -9

Subproblem 2

Set the factor '(1 + 4y)' equal to zero and attempt to solve: Simplifying 1 + 4y = 0 Solving 1 + 4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4y = 0 + -1 4y = 0 + -1 Combine like terms: 0 + -1 = -1 4y = -1 Divide each side by '4'. y = -0.25 Simplifying y = -0.25

Solution

y = {-9, -0.25}

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