Finite Math Examples

$4 x^{2} - 3 x = 0$

Step 1

Factor $x$ out of $4 x^{2} - 3 x$ .

Tap for more steps...

Step 1.1

Factor $x$ out of $4 x^{2}$ .

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

Step 1.2

Factor $x$ out of $- 3 x$ .

$x (4 x) + x \cdot - 3 = 0$

Step 1.3

Factor $x$ out of $x (4 x) + x \cdot - 3$ .

$x (4 x - 3) = 0$

Step 2

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

$x = 0$

$4 x - 3 = 0$

Step 3

Set $x$ equal to $0$ .

$x = 0$

Step 4

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

Tap for more steps...

Step 4.1

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

$4 x - 3 = 0$

Step 4.2

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

Tap for more steps...

Step 4.2.1

Add $3$ to both sides of the equation.

$4 x = 3$

Step 4.2.2

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

Tap for more steps...

Step 4.2.2.1

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

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

Step 4.2.2.2

Simplify the left side.

Tap for more steps...

Step 4.2.2.2.1

Cancel the common factor of $4$ .

Tap for more steps...

Step 4.2.2.2.1.1

Cancel the common factor.

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

Step 4.2.2.2.1.2

Divide $x$ by $1$ .

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

Step 5

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

$x = 0, \frac{3}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = 0, \frac{3}{4}$

Decimal Form:

$x = 0, 0.75$