Solve x+3=frac{sqrt{(-9)-16}}{21}

$$x + 3 = \frac { \sqrt { ( - 9 ) - 16 } } { 21 }$$

Solve for x (complex solution)

$$x=-3+\frac{5}{21}i\approx -3+0.238095238i$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 21.

$$21x+63=\sqrt{-9-16}$$

Subtract 16 from -9 to get -25.

$$21x+63=\sqrt{-25}$$

Calculate the square root of -25 and get 5i.

$$21x+63=5i$$

Subtract 63 from both sides.

$$21x=5i-63$$

The equation is in standard form.

$$21x=-63+5i$$

Divide both sides by 21.

$$\frac{21x}{21}=\frac{-63+5i}{21}$$

Dividing by 21 undoes the multiplication by 21.

$$x=\frac{-63+5i}{21}$$

Divide -63+5i by 21.

$$x=-3+\frac{5}{21}i$$