3b^5=7b^3

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Solution for 3b^5=7b^3 equation: 


Simplifying
3b5 = 7b3

Solving
3b5 = 7b3

Solving for variable 'b'.

Reorder the terms:
-7b3 + 3b5 = 7b3 + -7b3

Combine like terms: 7b3 + -7b3 = 0
-7b3 + 3b5 = 0

Factor out the Greatest Common Factor (GCF), 'b3'.
b3(-7 + 3b2) = 0


Subproblem 1
Set the factor 'b3' equal to zero and attempt to solve:

Simplifying
b3 = 0

Solving
b3 = 0

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

Simplifying
b3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-7 + 3b2)' equal to zero and attempt to solve:

Simplifying
-7 + 3b2 = 0

Solving
-7 + 3b2 = 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 + 3b2 = 0 + 7

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

Combine like terms: 0 + 7 = 7
3b2 = 7

Divide each side by '3'.
b2 = 2.333333333

Simplifying
b2 = 2.333333333

Take the square root of each side:
b = {-1.527525232, 1.527525232}
Solution
b = {-1.527525232, 1.527525232}

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