2e^2x-0.5x=0

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Solution for 2e^2x-0.5x=0 equation: 


Simplifying
2e2x + -0.5x = 0

Solving
2e2x + -0.5x = 0

Solving for variable 'e'.

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

Add '0.5x' to each side of the equation.
2e2x + -0.5x + 0.5x = 0 + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
2e2x + 0.0 = 0 + 0.5x
2e2x = 0 + 0.5x
Remove the zero:
2e2x = 0.5x

Divide each side by '2x'.
e2 = 0.25

Simplifying
e2 = 0.25

Take the square root of each side:
e = {-0.5, 0.5}

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