8r^2+3r=7r^2

Solution for 8r^2+3r=7r^2 equation:

Simplifying
8r2 + 3r = 7r2

Reorder the terms:
3r + 8r2 = 7r2

Solving
3r + 8r2 = 7r2

Solving for variable 'r'.

Combine like terms: 8r2 + -7r2 = 1r2
3r + 1r2 = 7r2 + -7r2

Combine like terms: 7r2 + -7r2 = 0
3r + 1r2 = 0

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

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 '(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
Solution
r = {0, -3}