4r^2+4=-5r+3r^2

Solution for 4r^2+4=-5r+3r^2 equation:

Simplifying
4r2 + 4 = -5r + 3r2

Reorder the terms:
4 + 4r2 = -5r + 3r2

Solving
4 + 4r2 = -5r + 3r2

Solving for variable 'r'.

Reorder the terms:
4 + 5r + 4r2 + -3r2 = -5r + 3r2 + 5r + -3r2

Combine like terms: 4r2 + -3r2 = 1r2
4 + 5r + 1r2 = -5r + 3r2 + 5r + -3r2

Reorder the terms:
4 + 5r + 1r2 = -5r + 5r + 3r2 + -3r2

Combine like terms: -5r + 5r = 0
4 + 5r + 1r2 = 0 + 3r2 + -3r2
4 + 5r + 1r2 = 3r2 + -3r2

Combine like terms: 3r2 + -3r2 = 0
4 + 5r + 1r2 = 0

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

Subproblem 1
Set the factor '(4 + r)' equal to zero and attempt to solve:

Simplifying
4 + r = 0

Solving
4 + r = 0

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

Add '-4' to each side of the equation.
4 + -4 + r = 0 + -4

Combine like terms: 4 + -4 = 0
0 + r = 0 + -4
r = 0 + -4

Combine like terms: 0 + -4 = -4
r = -4

Simplifying
r = -4
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 = {-4, -1}