(8-y)(2y-7)=0

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Solution for (8-y)(2y-7)=0 equation:


Simplifying
(8 + -1y)(2y + -7) = 0

Reorder the terms:
(8 + -1y)(-7 + 2y) = 0

Multiply (8 + -1y) * (-7 + 2y)
(8(-7 + 2y) + -1y * (-7 + 2y)) = 0
((-7 * 8 + 2y * 8) + -1y * (-7 + 2y)) = 0
((-56 + 16y) + -1y * (-7 + 2y)) = 0
(-56 + 16y + (-7 * -1y + 2y * -1y)) = 0
(-56 + 16y + (7y + -2y2)) = 0

Combine like terms: 16y + 7y = 23y
(-56 + 23y + -2y2) = 0

Solving
-56 + 23y + -2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-8 + y)(7 + -2y) = 0

Subproblem 1

Set the factor '(-8 + y)' equal to zero and attempt to solve: Simplifying -8 + y = 0 Solving -8 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + y = 0 + 8 y = 0 + 8 Combine like terms: 0 + 8 = 8 y = 8 Simplifying y = 8

Subproblem 2

Set the factor '(7 + -2y)' equal to zero and attempt to solve: Simplifying 7 + -2y = 0 Solving 7 + -2y = 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 + -2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2y = 0 + -7 -2y = 0 + -7 Combine like terms: 0 + -7 = -7 -2y = -7 Divide each side by '-2'. y = 3.5 Simplifying y = 3.5

Solution

y = {8, 3.5}

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