Algebra Examples

$(- 4 x - 3) (x - 3)$

Step 1

Set $(- 4 x - 3) (x - 3)$ equal to $0$ .

$(- 4 x - 3) (x - 3) = 0$

Step 2

Solve for $x$ .

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Step 2.1

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$- 4 x - 3 = 0$

$x - 3 = 0$

Step 2.2

Set $- 4 x - 3$ equal to $0$ and solve for $x$ .

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Step 2.2.1

Set $- 4 x - 3$ equal to $0$ .

$- 4 x - 3 = 0$

Step 2.2.2

Solve $- 4 x - 3 = 0$ for $x$ .

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Step 2.2.2.1

Add $3$ to both sides of the equation.

$- 4 x = 3$

Step 2.2.2.2

Divide each term in $- 4 x = 3$ by $- 4$ and simplify.

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Step 2.2.2.2.1

Divide each term in $- 4 x = 3$ by $- 4$ .

$\frac{- 4 x}{- 4} = \frac{3}{- 4}$

Step 2.2.2.2.2

Simplify the left side.

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Step 2.2.2.2.2.1

Cancel the common factor of $- 4$ .

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Step 2.2.2.2.2.1.1

Cancel the common factor.

$\frac{- 4 x}{- 4} = \frac{3}{- 4}$

Step 2.2.2.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{3}{- 4}$

Step 2.2.2.2.3

Simplify the right side.

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Step 2.2.2.2.3.1

Move the negative in front of the fraction.

$x = - \frac{3}{4}$

Step 2.3

Set $x - 3$ equal to $0$ and solve for $x$ .

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Step 2.3.1

Set $x - 3$ equal to $0$ .

$x - 3 = 0$

Step 2.3.2

Add $3$ to both sides of the equation.

$x = 3$

Step 2.4

The final solution is all the values that make $(- 4 x - 3) (x - 3) = 0$ true.

$x = - \frac{3}{4}, 3$

Step 3