6b(13b-7)=0

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Solution for 6b(13b-7)=0 equation: 


Simplifying
6b(13b + -7) = 0

Reorder the terms:
6b(-7 + 13b) = 0
(-7 * 6b + 13b * 6b) = 0
(-42b + 78b2) = 0

Solving
-42b + 78b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '6b'.
6b(-7 + 13b) = 0

Ignore the factor 6.

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 '(-7 + 13b)' equal to zero and attempt to solve:

Simplifying
-7 + 13b = 0

Solving
-7 + 13b = 0

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

Add '7' to each side of the equation.
-7 + 7 + 13b = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 13b = 0 + 7
13b = 0 + 7

Combine like terms: 0 + 7 = 7
13b = 7

Divide each side by '13'.
b = 0.5384615385

Simplifying
b = 0.5384615385
Solution
b = {0, 0.5384615385}

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