Find All Complex Solutions 3x-10(x+2) = square root of 13-7x

$3 x - 10 (x + 2) = \sqrt{13} - 7 x$

Step 1

Simplify $3 x - 10 (x + 2)$ .

Simplify each term.

Apply the distributive property.

$3 x - 10 x - 10 \cdot 2 = \sqrt{13} - 7 x$

Multiply $- 10$ by $2$ .

$3 x - 10 x - 20 = \sqrt{13} - 7 x$

Subtract $10 x$ from $3 x$ .

$- 7 x - 20 = \sqrt{13} - 7 x$

Step 2

Move all terms containing $x$ to the left side of the equation.

Add $7 x$ to both sides of the equation.

$- 7 x - 20 + 7 x = \sqrt{13}$

Combine the opposite terms in $- 7 x - 20 + 7 x$ .

Add $- 7 x$ and $7 x$ .

$0 - 20 = \sqrt{13}$

Subtract $20$ from $0$ .

$- 20 = \sqrt{13}$

Step 3

Since $- 20 \neq \sqrt{13}$ , there are no solutions.

No solution