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

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

Simplifying
(8r2 + 3r) + 2 = 7r2

Reorder the terms:
(3r + 8r2) + 2 = 7r2

Remove parenthesis around (3r + 8r2)
3r + 8r2 + 2 = 7r2

Reorder the terms:
2 + 3r + 8r2 = 7r2

Solving
2 + 3r + 8r2 = 7r2

Solving for variable 'r'.

Combine like terms: 8r2 + -7r2 = 1r2
2 + 3r + 1r2 = 7r2 + -7r2

Combine like terms: 7r2 + -7r2 = 0
2 + 3r + 1r2 = 0

Factor a trinomial.
(2 + r)(1 + r) = 0

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

Simplifying
2 + r = 0

Solving
2 + r = 0

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

Add '-2' to each side of the equation.
2 + -2 + r = 0 + -2

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

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

Simplifying
r = -2
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 = {-2, -1}