Solve for A Ax+b=0

$A x + b = 0$

Step 1

Subtract $b$ from both sides of the equation.

$A x = - b$

Step 2

Divide each term in $A x = - b$ by $x$ and simplify.

Divide each term in $A x = - b$ by $x$ .

$\frac{A x}{x} = \frac{- b}{x}$

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{A x}{x} = \frac{- b}{x}$

Divide $A$ by $1$ .

$A = \frac{- b}{x}$

Simplify the right side.

Move the negative in front of the fraction.

$A = - \frac{b}{x}$