(5-y)(4y-7)=0

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Solution for (5-y)(4y-7)=0 equation:


Simplifying
(5 + -1y)(4y + -7) = 0

Reorder the terms:
(5 + -1y)(-7 + 4y) = 0

Multiply (5 + -1y) * (-7 + 4y)
(5(-7 + 4y) + -1y * (-7 + 4y)) = 0
((-7 * 5 + 4y * 5) + -1y * (-7 + 4y)) = 0
((-35 + 20y) + -1y * (-7 + 4y)) = 0
(-35 + 20y + (-7 * -1y + 4y * -1y)) = 0
(-35 + 20y + (7y + -4y2)) = 0

Combine like terms: 20y + 7y = 27y
(-35 + 27y + -4y2) = 0

Solving
-35 + 27y + -4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-5 + y)(7 + -4y) = 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 '(7 + -4y)' equal to zero and attempt to solve: Simplifying 7 + -4y = 0 Solving 7 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4y = 0 + -7 -4y = 0 + -7 Combine like terms: 0 + -7 = -7 -4y = -7 Divide each side by '-4'. y = 1.75 Simplifying y = 1.75

Solution

y = {5, 1.75}

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