Solve for a x=(-b)/(2a)

$x = \frac{- b}{2 a}$

Step 1

Rewrite the equation as $\frac{- b}{2 a} = x$ .

$\frac{- b}{2 a} = x$

Step 2

Move the negative in front of the fraction.

$- \frac{b}{2 a} = x$

Step 3

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$2 a, 1$

The LCM of one and any expression is the expression.

$2 a$

Step 4

Multiply each term in $- \frac{b}{2 a} = x$ by $2 a$ to eliminate the fractions.

Multiply each term in $- \frac{b}{2 a} = x$ by $2 a$ .

$- \frac{b}{2 a} (2 a) = x (2 a)$

Simplify the left side.

Cancel the common factor of $2 a$ .

Move the leading negative in $- \frac{b}{2 a}$ into the numerator.

$\frac{- b}{2 a} (2 a) = x (2 a)$

Cancel the common factor.

$\frac{- b}{2 a} (2 a) = x (2 a)$

Rewrite the expression.

$- b = x (2 a)$

Simplify the right side.

Rewrite using the commutative property of multiplication.

$- b = 2 x a$

Step 5

Solve the equation.

Rewrite the equation as $2 x a = - b$ .

$2 x a = - b$

Divide each term in $2 x a = - b$ by $2 x$ and simplify.

Divide each term in $2 x a = - b$ by $2 x$ .

$\frac{2 x a}{2 x} = \frac{- b}{2 x}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x a}{2 x} = \frac{- b}{2 x}$

Rewrite the expression.

$\frac{x a}{x} = \frac{- b}{2 x}$

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x a}{x} = \frac{- b}{2 x}$

Divide $a$ by $1$ .

$a = \frac{- b}{2 x}$

Simplify the right side.

Move the negative in front of the fraction.

$a = - \frac{b}{2 x}$

Solve for a x=(-b)/(2a)

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