8r^2+112=-72r

Solution for 8r^2+112=-72r equation:

Simplifying
8r2 + 112 = -72r

Reorder the terms:
112 + 8r2 = -72r

Solving
112 + 8r2 = -72r

Solving for variable 'r'.

Reorder the terms:
112 + 72r + 8r2 = -72r + 72r

Combine like terms: -72r + 72r = 0
112 + 72r + 8r2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(14 + 9r + r2) = 0

Factor a trinomial.
8((7 + r)(2 + r)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(7 + r)' equal to zero and attempt to solve:

Simplifying
7 + r = 0

Solving
7 + r = 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 + r = 0 + -7

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

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

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

Simplifying
2 + r = 0

Solving
2 + r = 0

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

Add '-2' to each side of the equation.
2 + -2 + r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + r = 0 + -2
r = 0 + -2

Combine like terms: 0 + -2 = -2
r = -2

Simplifying
r = -2
Solution
r = {-7, -2}