r^2-30=2+4r

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Solution for r^2-30=2+4r equation: 


Simplifying
r2 + -30 = 2 + 4r

Reorder the terms:
-30 + r2 = 2 + 4r

Solving
-30 + r2 = 2 + 4r

Solving for variable 'r'.

Reorder the terms:
-30 + -2 + -4r + r2 = 2 + 4r + -2 + -4r

Combine like terms: -30 + -2 = -32
-32 + -4r + r2 = 2 + 4r + -2 + -4r

Reorder the terms:
-32 + -4r + r2 = 2 + -2 + 4r + -4r

Combine like terms: 2 + -2 = 0
-32 + -4r + r2 = 0 + 4r + -4r
-32 + -4r + r2 = 4r + -4r

Combine like terms: 4r + -4r = 0
-32 + -4r + 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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