r^2-12r+30=-2

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Solution for r^2-12r+30=-2 equation: 


Simplifying
r2 + -12r + 30 = -2

Reorder the terms:
30 + -12r + r2 = -2

Solving
30 + -12r + r2 = -2

Solving for variable 'r'.

Reorder the terms:
30 + 2 + -12r + r2 = -2 + 2

Combine like terms: 30 + 2 = 32
32 + -12r + r2 = -2 + 2

Combine like terms: -2 + 2 = 0
32 + -12r + r2 = 0

Factor a trinomial.
(4 + -1r)(8 + -1r) = 0


Subproblem 1
Set the factor '(4 + -1r)' equal to zero and attempt to solve:

Simplifying
4 + -1r = 0

Solving
4 + -1r = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1r = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1r = 0 + -4
-1r = 0 + -4

Combine like terms: 0 + -4 = -4
-1r = -4

Divide each side by '-1'.
r = 4

Simplifying
r = 4

Subproblem 2
Set the factor '(8 + -1r)' equal to zero and attempt to solve:

Simplifying
8 + -1r = 0

Solving
8 + -1r = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1r = 0 + -8
-1r = 0 + -8

Combine like terms: 0 + -8 = -8
-1r = -8

Divide each side by '-1'.
r = 8

Simplifying
r = 8
Solution
r = {4, 8}

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