Solve -1+lambda/4a=-1

$$- \frac { 1 + \lambda } { 4 a } = - 1$$

Solve for a

$$a=\frac{\lambda +1}{4}$$

$$\lambda \neq -1$$

Steps for Solving Linear Equation

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4a.

$$-\left(1+\lambda \right)=-4a$$

To find the opposite of 1+\lambda , find the opposite of each term.

$$-1-\lambda =-4a$$

Swap sides so that all variable terms are on the left hand side.

$$-4a=-1-\lambda$$

The equation is in standard form.

$$-4a=-\lambda -1$$

Divide both sides by -4.

$$\frac{-4a}{-4}=\frac{-\lambda -1}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$a=\frac{-\lambda -1}{-4}$$

Divide -\lambda -1 by -4.

$$a=\frac{\lambda +1}{4}$$

Variable a cannot be equal to 0.

$$a=\frac{\lambda +1}{4}\text{, }a\neq 0$$

Solve for λ

$$\lambda =4a-1$$

$$a\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4a.

$$-\left(1+\lambda \right)=-4a$$

To find the opposite of 1+\lambda , find the opposite of each term.

$$-1-\lambda =-4a$$

Add 1 to both sides.

$$-\lambda =-4a+1$$

The equation is in standard form.

$$-\lambda =1-4a$$

Divide both sides by -1.

$$\frac{-\lambda }{-1}=\frac{1-4a}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$\lambda =\frac{1-4a}{-1}$$

Divide -4a+1 by -1.

$$\lambda =4a-1$$