0=r^2+50r-600r+70000

Solution for 0=r^2+50r-600r+70000 equation:

Simplifying
0 = r2 + 50r + -600r + 70000

Reorder the terms:
0 = 70000 + 50r + -600r + r2

Combine like terms: 50r + -600r = -550r
0 = 70000 + -550r + r2

Solving
0 = 70000 + -550r + r2

Solving for variable 'r'.

Combine like terms: 0 + -70000 = -70000
-70000 + 550r + -1r2 = 70000 + -550r + r2 + -70000 + 550r + -1r2

Reorder the terms:
-70000 + 550r + -1r2 = 70000 + -70000 + -550r + 550r + r2 + -1r2

Combine like terms: 70000 + -70000 = 0
-70000 + 550r + -1r2 = 0 + -550r + 550r + r2 + -1r2
-70000 + 550r + -1r2 = -550r + 550r + r2 + -1r2

Combine like terms: -550r + 550r = 0
-70000 + 550r + -1r2 = 0 + r2 + -1r2
-70000 + 550r + -1r2 = r2 + -1r2

Combine like terms: r2 + -1r2 = 0
-70000 + 550r + -1r2 = 0

Factor a trinomial.
(-350 + r)(200 + -1r) = 0

Subproblem 1
Set the factor '(-350 + r)' equal to zero and attempt to solve:

Simplifying
-350 + r = 0

Solving
-350 + r = 0

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

Add '350' to each side of the equation.
-350 + 350 + r = 0 + 350

Combine like terms: -350 + 350 = 0
0 + r = 0 + 350
r = 0 + 350

Combine like terms: 0 + 350 = 350
r = 350

Simplifying
r = 350
Subproblem 2
Set the factor '(200 + -1r)' equal to zero and attempt to solve:

Simplifying
200 + -1r = 0

Solving
200 + -1r = 0

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

Add '-200' to each side of the equation.
200 + -200 + -1r = 0 + -200

Combine like terms: 200 + -200 = 0
0 + -1r = 0 + -200
-1r = 0 + -200

Combine like terms: 0 + -200 = -200
-1r = -200

Divide each side by '-1'.
r = 200

Simplifying
r = 200
Solution
r = {350, 200}