(y^2)-54y+729=0

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Solution for (y^2)-54y+729=0 equation:


Simplifying
(y2) + -54y + 729 = 0
y2 + -54y + 729 = 0

Reorder the terms:
729 + -54y + y2 = 0

Solving
729 + -54y + y2 = 0

Solving for variable 'y'.

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

Subproblem 1

Set the factor '(27 + -1y)' equal to zero and attempt to solve: Simplifying 27 + -1y = 0 Solving 27 + -1y = 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 + -1y = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1y = 0 + -27 -1y = 0 + -27 Combine like terms: 0 + -27 = -27 -1y = -27 Divide each side by '-1'. y = 27 Simplifying y = 27

Subproblem 2

Set the factor '(27 + -1y)' equal to zero and attempt to solve: Simplifying 27 + -1y = 0 Solving 27 + -1y = 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 + -1y = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1y = 0 + -27 -1y = 0 + -27 Combine like terms: 0 + -27 = -27 -1y = -27 Divide each side by '-1'. y = 27 Simplifying y = 27

Solution

y = {27, 27}

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