(4y+1)(4y+5)=

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Solution for (4y+1)(4y+5)= equation:


Simplifying
(4y + 1)(4y + 5) = 0

Reorder the terms:
(1 + 4y)(4y + 5) = 0

Reorder the terms:
(1 + 4y)(5 + 4y) = 0

Multiply (1 + 4y) * (5 + 4y)
(1(5 + 4y) + 4y * (5 + 4y)) = 0
((5 * 1 + 4y * 1) + 4y * (5 + 4y)) = 0
((5 + 4y) + 4y * (5 + 4y)) = 0
(5 + 4y + (5 * 4y + 4y * 4y)) = 0
(5 + 4y + (20y + 16y2)) = 0

Combine like terms: 4y + 20y = 24y
(5 + 24y + 16y2) = 0

Solving
5 + 24y + 16y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(5 + 4y)(1 + 4y) = 0

Subproblem 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 = -1.25

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 = {-1.25, -0.25}

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