Solve (3x+30^0)=1/2sqrt{2}

$$( 3 x + 30 ^ { 0 } ) = \frac { 1 } { 2 } \sqrt { 2 }$$

Solve for x

$$x=\frac{\sqrt{2}-2}{6}\approx -0.097631073$$

Steps for Solving Linear Equation

Calculate 30 to the power of 0 and get 1.

$$3x+1=\frac{1}{2}\sqrt{2}$$

Subtract 1 from both sides.

$$3x=\frac{1}{2}\sqrt{2}-1$$

The equation is in standard form.

$$3x=\frac{\sqrt{2}}{2}-1$$

Divide both sides by 3.

$$\frac{3x}{3}=\frac{\frac{\sqrt{2}}{2}-1}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$x=\frac{\frac{\sqrt{2}}{2}-1}{3}$$

Divide \frac{\sqrt{2}}{2}-1 by 3.

$$x=\frac{\sqrt{2}}{6}-\frac{1}{3}$$