Solve 6w=sqrt{v}+1

$$6 w = \sqrt { v } + 1$$

Solve for v

$$v=\left(1-6w\right)^{2}$$

$$-\left(1-6w\right)\geq 0$$

Steps for Solving Radical Equations

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

$$\sqrt{v}+1=6w$$

Subtract 1 from both sides.

$$\sqrt{v}=6w-1$$

Square both sides of the equation.

$$v=\left(6w-1\right)^{2}$$

Solve for w

$$w=\frac{\sqrt{v}+1}{6}$$

$$v\geq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$6w=\sqrt{v}+1$$

Divide both sides by 6.

$$\frac{6w}{6}=\frac{\sqrt{v}+1}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$w=\frac{\sqrt{v}+1}{6}$$