48r^2+18=-150r

Solution for 48r^2+18=-150r equation:

Simplifying
48r2 + 18 = -150r

Reorder the terms:
18 + 48r2 = -150r

Solving
18 + 48r2 = -150r

Solving for variable 'r'.

Reorder the terms:
18 + 150r + 48r2 = -150r + 150r

Combine like terms: -150r + 150r = 0
18 + 150r + 48r2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(3 + 25r + 8r2) = 0

Factor a trinomial.
6((3 + r)(1 + 8r)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(3 + r)' equal to zero and attempt to solve:

Simplifying
3 + r = 0

Solving
3 + r = 0

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

Add '-3' to each side of the equation.
3 + -3 + r = 0 + -3

Combine like terms: 3 + -3 = 0
0 + r = 0 + -3
r = 0 + -3

Combine like terms: 0 + -3 = -3
r = -3

Simplifying
r = -3
Subproblem 2
Set the factor '(1 + 8r)' equal to zero and attempt to solve:

Simplifying
1 + 8r = 0

Solving
1 + 8r = 0

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

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

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

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

Divide each side by '8'.
r = -0.125

Simplifying
r = -0.125
Solution
r = {-3, -0.125}