4r^2+8r+3=3

Solution for 4r^2+8r+3=3 equation:

Simplifying
4r2 + 8r + 3 = 3

Reorder the terms:
3 + 8r + 4r2 = 3

Add '-3' to each side of the equation.
3 + 8r + -3 + 4r2 = 3 + -3

Reorder the terms:
3 + -3 + 8r + 4r2 = 3 + -3

Combine like terms: 3 + -3 = 0
0 + 8r + 4r2 = 3 + -3
8r + 4r2 = 3 + -3

Combine like terms: 3 + -3 = 0
8r + 4r2 = 0

Solving
8r + 4r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '4r'.
4r(2 + r) = 0

Ignore the factor 4.
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 '(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
Solution
r = {0, -2}