How do you solve this? r^2+32=12r

r = {-8, - 4}

Step-by-step explanation:

Simplifying

r2 = - 32 + - 12r

Solving

r2 = - 32 + - 12r

Solving for variable 'r'.

Reorder the terms:

32 + 12r + r2 = - 32 + - 12r + 32 + 12r

Reorder the terms:

32 + 12r + r2 = - 32 + 32 + - 12r + 12r

Combine like terms: - 32 + 32 = 0

32 + 12r + r2 = 0 + - 12r + 12r

32 + 12r + r2 = - 12r + 12r

Combine like terms: - 12r + 12r = 0

32 + 12r + r2 = 0

Factor a trinomial.

(8 + r) (4 + r) = 0

Subproblem 1

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

Simplifying

8 + r = 0

Solving

8 + r = 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 + r = 0 + - 8

Combine like terms: 8 + - 8 = 0

0 + r = 0 + - 8

r = 0 + - 8

Combine like terms: 0 + - 8 = - 8

r = - 8

Simplifying

r = - 8

Subproblem 2

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

Simplifying

4 + r = 0

Solving

4 + r = 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 + r = 0 + - 4

Combine like terms: 4 + - 4 = 0

0 + r = 0 + - 4

r = 0 + - 4

Combine like terms: 0 + - 4 = - 4

r = - 4

Simplifying

r = - 4

Solution

r = {-8, - 4}