Solve for x x*2+5x-24=0

$x \cdot 2 + 5 x - 24 = 0$

Simplify $x \cdot 2 + 5 x - 24$ .

Move $2$ to the left of $x$ .

$2 x + 5 x - 24 = 0$

Add $2 x$ and $5 x$ .

$7 x - 24 = 0$

Add $24$ to both sides of the equation.

$7 x = 24$

Divide each term in $7 x = 24$ by $7$ and simplify.

Divide each term in $7 x = 24$ by $7$ .

$\frac{7 x}{7} = \frac{24}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} = \frac{24}{7}$

Divide $x$ by $1$ .

$x = \frac{24}{7}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{24}{7}$

Decimal Form:

$x = 3.\overline{428571}$

Mixed Number Form:

$x = 3 \frac{3}{7}$