Pre-Algebra Examples

$\frac{3 a}{a^{2} - a - 2} = \frac{6}{a^{2} - a - 2}$

Step 1

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$3 a = 6$

Step 2

Divide each term in $3 a = 6$ by $3$ and simplify.

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Step 2.1

Divide each term in $3 a = 6$ by $3$ .

$\frac{3 a}{3} = \frac{6}{3}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $3$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{3 a}{3} = \frac{6}{3}$

Step 2.2.1.2

Divide $a$ by $1$ .

$a = \frac{6}{3}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $6$ by $3$ .

$a = 2$

Step 3

Exclude the solutions that do not make $\frac{3 a}{a^{2} - a - 2} = \frac{6}{a^{2} - a - 2}$ true.

$No solution$