Finite Math Examples

$\frac{1}{0 + 2} + 3 = \frac{10}{0 + 2}$

Step 1

Subtract $\frac{10}{0 + 2}$ from both sides of the equation.

$\frac{1}{0 + 2} + 3 - \frac{10}{0 + 2} = 0$

Step 2

Simplify $\frac{1}{0 + 2} + 3 - \frac{10}{0 + 2}$ .

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Step 2.1

Combine the numerators over the common denominator.

$3 + \frac{1 - 10}{2} = 0$

Step 2.2

Subtract $10$ from $1$ .

$3 + \frac{- 9}{2} = 0$

Step 2.3

Move the negative in front of the fraction.

$3 - \frac{9}{2} = 0$

Step 2.4

To write $3$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$3 \cdot \frac{2}{2} - \frac{9}{2} = 0$

Step 2.5

Combine $3$ and $\frac{2}{2}$ .

$\frac{3 \cdot 2}{2} - \frac{9}{2} = 0$

Step 2.6

Combine the numerators over the common denominator.

$\frac{3 \cdot 2 - 9}{2} = 0$

Step 2.7

Simplify the numerator.

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Step 2.7.1

Multiply $3$ by $2$ .

$\frac{6 - 9}{2} = 0$

Step 2.7.2

Subtract $9$ from $6$ .

$\frac{- 3}{2} = 0$

Step 2.8

Move the negative in front of the fraction.

$- \frac{3}{2} = 0$

Step 3

Set the numerator equal to zero.

$3 = 0$

Step 4

Since $3 \neq 0$ , there are no solutions.

No solution