343b^2-7b=0

Solution for 343b^2-7b=0 equation:

Simplifying
343b2 + -7b = 0

Reorder the terms:
-7b + 343b2 = 0

Solving
-7b + 343b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '7b'.
7b(-1 + 49b) = 0

Ignore the factor 7.
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 '(-1 + 49b)' equal to zero and attempt to solve:

Simplifying
-1 + 49b = 0

Solving
-1 + 49b = 0

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

Add '1' to each side of the equation.
-1 + 1 + 49b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 49b = 0 + 1
49b = 0 + 1

Combine like terms: 0 + 1 = 1
49b = 1

Divide each side by '49'.
b = 0.02040816327

Simplifying
b = 0.02040816327
Solution
b = {0, 0.02040816327}