7b^2-42b=0

Solution for 7b^2-42b=0 equation:

Simplifying
7b2 + -42b = 0

Reorder the terms:
-42b + 7b2 = 0

Solving
-42b + 7b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '7b'.
7b(-6 + b) = 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 '(-6 + b)' equal to zero and attempt to solve:

Simplifying
-6 + b = 0

Solving
-6 + b = 0

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

Add '6' to each side of the equation.
-6 + 6 + b = 0 + 6

Combine like terms: -6 + 6 = 0
0 + b = 0 + 6
b = 0 + 6

Combine like terms: 0 + 6 = 6
b = 6

Simplifying
b = 6
Solution
b = {0, 6}