Solve for x -x(x+7)(10x+3)=0

$- x (x + 7) (10 x + 3) = 0$

Step 1

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

$x = 0$

$x + 7 = 0$

$10 x + 3 = 0$

Step 2

Set $x$ equal to $0$ .

$x = 0$

Step 3

Set $x + 7$ equal to $0$ and solve for $x$ .

Set $x + 7$ equal to $0$ .

$x + 7 = 0$

Subtract $7$ from both sides of the equation.

$x = - 7$

Step 4

Set $10 x + 3$ equal to $0$ and solve for $x$ .

Set $10 x + 3$ equal to $0$ .

$10 x + 3 = 0$

Solve $10 x + 3 = 0$ for $x$ .

Subtract $3$ from both sides of the equation.

$10 x = - 3$

Divide each term in $10 x = - 3$ by $10$ and simplify.

Divide each term in $10 x = - 3$ by $10$ .

$\frac{10 x}{10} = \frac{- 3}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 x}{10} = \frac{- 3}{10}$

Divide $x$ by $1$ .

$x = \frac{- 3}{10}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{3}{10}$

Step 5

The final solution is all the values that make $- x (x + 7) (10 x + 3) = 0$ true.

$x = 0, - 7, - \frac{3}{10}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = 0, - 7, - \frac{3}{10}$

Decimal Form:

$x = 0, - 7, - 0.3$