y^2-36y+324=0

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Solution for y^2-36y+324=0 equation:


Simplifying
y2 + -36y + 324 = 0

Reorder the terms:
324 + -36y + y2 = 0

Solving
324 + -36y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(18 + -1y)(18 + -1y) = 0

Subproblem 1

Set the factor '(18 + -1y)' equal to zero and attempt to solve: Simplifying 18 + -1y = 0 Solving 18 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1y = 0 + -18 -1y = 0 + -18 Combine like terms: 0 + -18 = -18 -1y = -18 Divide each side by '-1'. y = 18 Simplifying y = 18

Subproblem 2

Set the factor '(18 + -1y)' equal to zero and attempt to solve: Simplifying 18 + -1y = 0 Solving 18 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1y = 0 + -18 -1y = 0 + -18 Combine like terms: 0 + -18 = -18 -1y = -18 Divide each side by '-1'. y = 18 Simplifying y = 18

Solution

y = {18, 18}

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