(5-y)(3y-4)=0

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Solution for (5-y)(3y-4)=0 equation:


Simplifying
(5 + -1y)(3y + -4) = 0

Reorder the terms:
(5 + -1y)(-4 + 3y) = 0

Multiply (5 + -1y) * (-4 + 3y)
(5(-4 + 3y) + -1y * (-4 + 3y)) = 0
((-4 * 5 + 3y * 5) + -1y * (-4 + 3y)) = 0
((-20 + 15y) + -1y * (-4 + 3y)) = 0
(-20 + 15y + (-4 * -1y + 3y * -1y)) = 0
(-20 + 15y + (4y + -3y2)) = 0

Combine like terms: 15y + 4y = 19y
(-20 + 19y + -3y2) = 0

Solving
-20 + 19y + -3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-5 + y)(4 + -3y) = 0

Subproblem 1

Set the factor '(-5 + y)' equal to zero and attempt to solve: Simplifying -5 + y = 0 Solving -5 + y = 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 + y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + y = 0 + 5 y = 0 + 5 Combine like terms: 0 + 5 = 5 y = 5 Simplifying y = 5

Subproblem 2

Set the factor '(4 + -3y)' equal to zero and attempt to solve: Simplifying 4 + -3y = 0 Solving 4 + -3y = 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 + -3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3y = 0 + -4 -3y = 0 + -4 Combine like terms: 0 + -4 = -4 -3y = -4 Divide each side by '-3'. y = 1.333333333 Simplifying y = 1.333333333

Solution

y = {5, 1.333333333}

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