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$e^{\frac{-x}{2}}=4y^2+4y+1$
Learn how to solve equations problems step by step online. Solve the exponential equation 4y^2+4y+1=e^((-x)/2). Rearrange the equation. We can take out the unknown from the exponent by applying natural logarithm to both sides of the equation. Apply the formula: \ln\left(e^x\right)=x, where x=\frac{-x}{2}. Multiply both sides of the equation by 2.