7b^2+4b=b

Solution for 7b^2+4b=b equation:

Simplifying
7b2 + 4b = b

Reorder the terms:
4b + 7b2 = b

Solving
4b + 7b2 = b

Solving for variable 'b'.

Reorder the terms:
4b + -1b + 7b2 = b + -1b

Combine like terms: 4b + -1b = 3b
3b + 7b2 = b + -1b

Combine like terms: b + -1b = 0
3b + 7b2 = 0

Factor out the Greatest Common Factor (GCF), 'b'.
b(3 + 7b) = 0

Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0
Subproblem 2
Set the factor '(3 + 7b)' equal to zero and attempt to solve:

Simplifying
3 + 7b = 0

Solving
3 + 7b = 0

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

Add '-3' to each side of the equation.
3 + -3 + 7b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7b = 0 + -3
7b = 0 + -3

Combine like terms: 0 + -3 = -3
7b = -3

Divide each side by '7'.
b = -0.4285714286

Simplifying
b = -0.4285714286
Solution
b = {0, -0.4285714286}