Solve for x (-5x+4)(x-3)=0

$(- 5 x + 4) (x - 3) = 0$

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

$- 5 x + 4 = 0$

$x - 3 = 0$

Set $- 5 x + 4$ equal to $0$ and solve for $x$ .

Set $- 5 x + 4$ equal to $0$ .

$- 5 x + 4 = 0$

Solve $- 5 x + 4 = 0$ for $x$ .

Subtract $4$ from both sides of the equation.

$- 5 x = - 4$

Divide each term in $- 5 x = - 4$ by $- 5$ and simplify.

Divide each term in $- 5 x = - 4$ by $- 5$ .

$\frac{- 5 x}{- 5} = \frac{- 4}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 x}{- 5} = \frac{- 4}{- 5}$

Divide $x$ by $1$ .

$x = \frac{- 4}{- 5}$

Simplify the right side.

Dividing two negative values results in a positive value.

$x = \frac{4}{5}$

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

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

$x - 3 = 0$

Add $3$ to both sides of the equation.

$x = 3$

The final solution is all the values that make $(- 5 x + 4) (x - 3) = 0$ true.

$x = \frac{4}{5}, 3$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{4}{5}, 3$

Decimal Form:

$x = 0.8, 3$