(5y-4)(y+4)=0

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Solution for (5y-4)(y+4)=0 equation:


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

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

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

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

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

Solving
-16 + 16y + 5y2 = 0

Solving for variable 'y'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(4 + -5y)' equal to zero and attempt to solve: Simplifying 4 + -5y = 0 Solving 4 + -5y = 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 + -5y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5y = 0 + -4 -5y = 0 + -4 Combine like terms: 0 + -4 = -4 -5y = -4 Divide each side by '-5'. y = 0.8 Simplifying y = 0.8

Solution

y = {-4, 0.8}

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