Solve x=-9+-frac{sqrt{9^2-4(1)(-22)}}{2(1)}

$$x=-9+- \frac{ \sqrt{ { 9 }^{ 2 } -4(1)(-22) } }{ 2(1) }$$

Solve for x

$$x = -\frac{31}{2} = -15\frac{1}{2} = -15.5$$

Steps for Solving Linear Equation

Calculate 9 to the power of 2 and get 81.

$$x=-9-\frac{\sqrt{81-4\times 1\left(-22\right)}}{2\times 1}$$

Multiply 4 and 1 to get 4.

$$x=-9-\frac{\sqrt{81-4\left(-22\right)}}{2\times 1}$$

Multiply 4 and -22 to get -88.

$$x=-9-\frac{\sqrt{81-\left(-88\right)}}{2\times 1}$$

The opposite of -88 is 88.

$$x=-9-\frac{\sqrt{81+88}}{2\times 1}$$

Add 81 and 88 to get 169.

$$x=-9-\frac{\sqrt{169}}{2\times 1}$$

Calculate the square root of 169 and get 13.

$$x=-9-\frac{13}{2\times 1}$$

Multiply 2 and 1 to get 2.

$$x=-9-\frac{13}{2}$$

Convert -9 to fraction -\frac{18}{2}.

$$x=-\frac{18}{2}-\frac{13}{2}$$

Since -\frac{18}{2} and \frac{13}{2} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{-18-13}{2}$$

Subtract 13 from -18 to get -31.

$$x=-\frac{31}{2}$$

Assign x

$$x≔-\frac{31}{2}$$