Solve for x 2x^5+73=53

$2 x^{5} + 73 = 53$

Move all terms not containing $x$ to the right side of the equation.

Subtract $73$ from both sides of the equation.

$2 x^{5} = 53 - 73$

Subtract $73$ from $53$ .

$2 x^{5} = - 20$

Divide each term in $2 x^{5} = - 20$ by $2$ and simplify.

Divide each term in $2 x^{5} = - 20$ by $2$ .

$\frac{2 x^{5}}{2} = \frac{- 20}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x^{5}}{2} = \frac{- 20}{2}$

Divide $x^{5}$ by $1$ .

$x^{5} = \frac{- 20}{2}$

Simplify the right side.

Divide $- 20$ by $2$ .

$x^{5} = - 10$

Take the 5th root of both sides of the equation to eliminate the exponent on the left side.

$x = \sqrt[5]{- 10}$

Simplify $\sqrt[5]{- 10}$ .

Rewrite $- 10$ as ${(- 1)}^{5} \cdot 10$ .

Rewrite $- 10$ as $- 1 (10)$ .

$x = \sqrt[5]{- 1 (10)}$

Rewrite $- 1$ as ${(- 1)}^{5}$ .

$x = \sqrt[5]{{(- 1)}^{5} \cdot 10}$

Pull terms out from under the radical.

$x = - 1 \sqrt[5]{10}$

Rewrite $- 1 \sqrt[5]{10}$ as $- \sqrt[5]{10}$ .

$x = - \sqrt[5]{10}$

The result can be shown in multiple forms.

Exact Form:

$x = - \sqrt[5]{10}$

Decimal Form:

$x = - 1.58489319 \dots$