-3r+5+r+2r^2-5=

Solution for -3r+5+r+2r^2-5= equation:

Simplifying
-3r + 5 + r + 2r2 + -5 = 0

Reorder the terms:
5 + -5 + -3r + r + 2r2 = 0

Combine like terms: 5 + -5 = 0
0 + -3r + r + 2r2 = 0
-3r + r + 2r2 = 0

Combine like terms: -3r + r = -2r
-2r + 2r2 = 0

Solving
-2r + 2r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2r'.
2r(-1 + r) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0
Subproblem 2
Set the factor '(-1 + r)' equal to zero and attempt to solve:

Simplifying
-1 + r = 0

Solving
-1 + r = 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 + r = 0 + 1

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

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

Simplifying
r = 1
Solution
r = {0, 1}