Trigonometry Examples

$2 e^{2 x} + 5 e^{x} - 3 = 0$

Step 1

Move all terms not containing $e$ to the right side of the equation.

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Step 1.1

Subtract $2 e^{2 x}$ from both sides of the equation.

$5 e^{x} - 3 = - 2 e^{2 x}$

Step 1.2

Subtract $5 e^{x}$ from both sides of the equation.

$- 3 = - 2 e^{2 x} - 5 e^{x}$

Step 1.3

Add $3$ to both sides of the equation.

$0 = - 2 e^{2 x} - 5 e^{x} + 3$

Step 2

Rewrite the equation as $- 2 e^{2 x} - 5 e^{x} + 3 = 0$ .

$- 2 e^{2 x} - 5 e^{x} + 3 = 0$