e^2(4x+1)=0

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Solution for e^2(4x+1)=0 equation: 


Simplifying
e2(4x + 1) = 0

Reorder the terms:
e2(1 + 4x) = 0
(1 * e2 + 4x * e2) = 0
(1e2 + 4e2x) = 0

Solving
1e2 + 4e2x = 0

Solving for variable 'e'.

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

Factor out the Greatest Common Factor (GCF), 'e2'.
e2(1 + 4x) = 0


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 '(1 + 4x)' equal to zero and attempt to solve:

Simplifying
1 + 4x = 0

Solving
1 + 4x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 0 + -1
4x = 0 + -1

Combine like terms: 0 + -1 = -1
4x = -1

Add '-4x' to each side of the equation.
4x + -4x = -1 + -4x

Combine like terms: 4x + -4x = 0
0 = -1 + -4x

Simplifying
0 = -1 + -4x

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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