4(x^2)e^2x=0.5

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Solution for 4(x^2)e^2x=0.5 equation: 


Simplifying
4(x2) * e2x = 0.5

Multiply x2 * e2x
4e2x3 = 0.5

Solving
4e2x3 = 0.5

Solving for variable 'e'.

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

Divide each side by '4x3'.
e2 = 0.125x-3

Simplifying
e2 = 0.125x-3

Combine like terms: 0.125x-3 + -0.125x-3 = 0.000
e2 + -0.125x-3 = 0.000

Factor out the Greatest Common Factor (GCF), 'x-3'.
x-3(e2x3 + -0.125) = 0.000


Subproblem 1
Set the factor 'x-3' equal to zero and attempt to solve:

Simplifying
x-3 = 0

Solving
x-3 = 0

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

Add '-1x-3' to each side of the equation.
x-3 + -1x-3 = 0 + -1x-3
Remove the zero:
0 = -1x-3

Simplifying
0 = -1x-3

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 '(e2x3 + -0.125)' equal to zero and attempt to solve:

Simplifying
e2x3 + -0.125 = 0

Reorder the terms:
-0.125 + e2x3 = 0

Solving
-0.125 + e2x3 = 0

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

Add '0.125' to each side of the equation.
-0.125 + 0.125 + e2x3 = 0 + 0.125

Combine like terms: -0.125 + 0.125 = 0.000
0.000 + e2x3 = 0 + 0.125
e2x3 = 0 + 0.125

Combine like terms: 0 + 0.125 = 0.125
e2x3 = 0.125

Divide each side by 'x3'.
e2 = 0.125x-3

Simplifying
e2 = 0.125x-3

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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