b^4c-13b^2c+42c=

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Solution for b^4c-13b^2c+42c= equation: 


Simplifying
b4c + -13b2c + 42c = 0

Reorder the terms:
-13b2c + b4c + 42c = 0

Solving
-13b2c + b4c + 42c = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'c'.
c(-13b2 + b4 + 42) = 0

Factor a trinomial.
c((b2 + -7)(b2 + -6)) = 0


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

Simplifying
c = 0

Solving
c = 0

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

Add '-1c' to each side of the equation.
c + -1c = 0 + -1c
Remove the zero:
0 = -1c

Simplifying
0 = -1c

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 '(b2 + -7)' equal to zero and attempt to solve:

Simplifying
b2 + -7 = 0

Reorder the terms:
-7 + b2 = 0

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

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

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

Simplifying
b2 = 7

Take the square root of each side:
b = {-2.645751311, 2.645751311}

Subproblem 3
Set the factor '(b2 + -6)' equal to zero and attempt to solve:

Simplifying
b2 + -6 = 0

Reorder the terms:
-6 + b2 = 0

Solving
-6 + b2 = 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 + b2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + b2 = 0 + 6
b2 = 0 + 6

Combine like terms: 0 + 6 = 6
b2 = 6

Simplifying
b2 = 6

Take the square root of each side:
b = {-2.449489743, 2.449489743}
Solution
b = {-2.645751311, 2.645751311, -2.449489743, 2.449489743}

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