0=r^2+5r+150

Solution for 0=r^2+5r+150 equation:

Simplifying
0 = r2 + 5r + 150

Reorder the terms:
0 = 150 + 5r + r2

Solving
0 = 150 + 5r + r2

Solving for variable 'r'.

Combine like terms: 0 + -150 = -150
-150 + -5r + -1r2 = 150 + 5r + r2 + -150 + -5r + -1r2

Reorder the terms:
-150 + -5r + -1r2 = 150 + -150 + 5r + -5r + r2 + -1r2

Combine like terms: 150 + -150 = 0
-150 + -5r + -1r2 = 0 + 5r + -5r + r2 + -1r2
-150 + -5r + -1r2 = 5r + -5r + r2 + -1r2

Combine like terms: 5r + -5r = 0
-150 + -5r + -1r2 = 0 + r2 + -1r2
-150 + -5r + -1r2 = r2 + -1r2

Combine like terms: r2 + -1r2 = 0
-150 + -5r + -1r2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(150 + 5r + r2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(150 + 5r + r2)' equal to zero and attempt to solve:

Simplifying
150 + 5r + r2 = 0

Solving
150 + 5r + r2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-150' to each side of the equation.
150 + 5r + -150 + r2 = 0 + -150

Reorder the terms:
150 + -150 + 5r + r2 = 0 + -150

Combine like terms: 150 + -150 = 0
0 + 5r + r2 = 0 + -150
5r + r2 = 0 + -150

Combine like terms: 0 + -150 = -150
5r + r2 = -150

The r term is 5r.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5r + 6.25 + r2 = -150 + 6.25

Reorder the terms:
6.25 + 5r + r2 = -150 + 6.25

Combine like terms: -150 + 6.25 = -143.75
6.25 + 5r + r2 = -143.75

Factor a perfect square on the left side:
(r + 2.5)(r + 2.5) = -143.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.