Factorize then Divide
(y^2-36y+324) ÷ (y-18)
Answers
Answer:
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}