r^2-8r+27=-8+4r

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Solution for r^2-8r+27=-8+4r equation: 


Simplifying
r2 + -8r + 27 = -8 + 4r

Reorder the terms:
27 + -8r + r2 = -8 + 4r

Solving
27 + -8r + r2 = -8 + 4r

Solving for variable 'r'.

Reorder the terms:
27 + 8 + -8r + -4r + r2 = -8 + 4r + 8 + -4r

Combine like terms: 27 + 8 = 35
35 + -8r + -4r + r2 = -8 + 4r + 8 + -4r

Combine like terms: -8r + -4r = -12r
35 + -12r + r2 = -8 + 4r + 8 + -4r

Reorder the terms:
35 + -12r + r2 = -8 + 8 + 4r + -4r

Combine like terms: -8 + 8 = 0
35 + -12r + r2 = 0 + 4r + -4r
35 + -12r + r2 = 4r + -4r

Combine like terms: 4r + -4r = 0
35 + -12r + r2 = 0

Factor a trinomial.
(5 + -1r)(7 + -1r) = 0


Subproblem 1
Set the factor '(5 + -1r)' equal to zero and attempt to solve:

Simplifying
5 + -1r = 0

Solving
5 + -1r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -1r = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1r = 0 + -5
-1r = 0 + -5

Combine like terms: 0 + -5 = -5
-1r = -5

Divide each side by '-1'.
r = 5

Simplifying
r = 5

Subproblem 2
Set the factor '(7 + -1r)' equal to zero and attempt to solve:

Simplifying
7 + -1r = 0

Solving
7 + -1r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1r = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1r = 0 + -7
-1r = 0 + -7

Combine like terms: 0 + -7 = -7
-1r = -7

Divide each side by '-1'.
r = 7

Simplifying
r = 7
Solution
r = {5, 7}

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