Finite Math Examples

$x^{0} \cdot (7 x) + 10 = 0$

Step 1

Rewrite using the commutative property of multiplication.

$7 x^{0} x + 10 = 0$

Step 2

Multiply $x^{0}$ by $x$ by adding the exponents.

Tap for more steps...

Step 2.1

Move $x$ .

$7 (x \cdot x^{0}) + 10 = 0$

Step 2.2

Multiply $x$ by $x^{0}$ .

Tap for more steps...

Step 2.2.1

Raise $x$ to the power of $1$ .

$7 (x \cdot x^{0}) + 10 = 0$

Step 2.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$7 x^{1 + 0} + 10 = 0$

Step 2.3

Add $1$ and $0$ .

$7 x + 10 = 0$

Step 3

Subtract $10$ from both sides of the equation.

$7 x = - 10$

Step 4

Divide each term in $7 x = - 10$ by $7$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $7 x = - 10$ by $7$ .

$\frac{7 x}{7} = \frac{- 10}{7}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of $7$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{7 x}{7} = \frac{- 10}{7}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 10}{7}$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Move the negative in front of the fraction.

$x = - \frac{10}{7}$