Solve x=(frac{sqrt{2}}{2})(-3)-(frac{sqrt{2}}{2})(4)

$$x=( \frac{ \sqrt{ 2 } }{ 2 } )(-3)-( \frac{ \sqrt{ 2 } }{ 2 } )(4)$$

Solve for x

$$x = -\frac{7 \sqrt{2}}{2} \approx -4.949747468$$

Steps for Solving Linear Equation

Express \frac{\sqrt{2}}{2}\left(-3\right) as a single fraction.

$$x=\frac{-\sqrt{2}\times 3}{2}-\frac{\sqrt{2}}{2}\times 4$$

Cancel out 2, the greatest common factor in 4 and 2.

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

Multiply -1 and 3 to get -3.

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

Combine \frac{-3\sqrt{2}}{2} and -2\sqrt{2} to get -\frac{7}{2}\sqrt{2}.

$$x=-\frac{7}{2}\sqrt{2}$$

Assign x

$$x≔-\frac{7\sqrt{2}}{2}$$