4e(4e^2+5eg+6e^2g^2)=

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Solution for 4e(4e^2+5eg+6e^2g^2)= equation: 


Simplifying
4e(4e2 + 5eg + 6e2g2) = 0

Reorder the terms:
4e(5eg + 4e2 + 6e2g2) = 0
(5eg * 4e + 4e2 * 4e + 6e2g2 * 4e) = 0
(20e2g + 16e3 + 24e3g2) = 0

Solving
20e2g + 16e3 + 24e3g2 = 0

Solving for variable 'e'.

Factor out the Greatest Common Factor (GCF), '4e2'.
4e2(5g + 4e + 6eg2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'e2' equal to zero and attempt to solve:

Simplifying
e2 = 0

Solving
e2 = 0

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

Simplifying
e2 = 0

Take the square root of each side:
e = {0}

Subproblem 2
Set the factor '(5g + 4e + 6eg2)' equal to zero and attempt to solve:

Simplifying
5g + 4e + 6eg2 = 0

Reorder the terms:
4e + 6eg2 + 5g = 0

Solving
4e + 6eg2 + 5g = 0

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

Add '-5g' to each side of the equation.
4e + 6eg2 + 5g + -5g = 0 + -5g

Combine like terms: 5g + -5g = 0
4e + 6eg2 + 0 = 0 + -5g
4e + 6eg2 = 0 + -5g
Remove the zero:
4e + 6eg2 = -5g

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
e = {0}

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