(27-y)(y-2)=0

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Solution for (27-y)(y-2)=0 equation:


Simplifying
(27 + -1y)(y + -2) = 0

Reorder the terms:
(27 + -1y)(-2 + y) = 0

Multiply (27 + -1y) * (-2 + y)
(27(-2 + y) + -1y * (-2 + y)) = 0
((-2 * 27 + y * 27) + -1y * (-2 + y)) = 0
((-54 + 27y) + -1y * (-2 + y)) = 0
(-54 + 27y + (-2 * -1y + y * -1y)) = 0
(-54 + 27y + (2y + -1y2)) = 0

Combine like terms: 27y + 2y = 29y
(-54 + 29y + -1y2) = 0

Solving
-54 + 29y + -1y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-27 + y)(2 + -1y) = 0

Subproblem 1

Set the factor '(-27 + y)' equal to zero and attempt to solve: Simplifying -27 + y = 0 Solving -27 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + y = 0 + 27 Combine like terms: -27 + 27 = 0 0 + y = 0 + 27 y = 0 + 27 Combine like terms: 0 + 27 = 27 y = 27 Simplifying y = 27

Subproblem 2

Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2

Solution

y = {27, 2}

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