Algebra Examples

$\frac{G}{3 n - Q^{2}} = t$

Step 1

Multiply both sides by $3 n - Q^{2}$ .

$\frac{G}{3 n - Q^{2}} (3 n - Q^{2}) = t (3 n - Q^{2})$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $3 n - Q^{2}$ .

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Step 2.1.1.1

Cancel the common factor.

$\frac{G}{3 n - Q^{2}} (3 n - Q^{2}) = t (3 n - Q^{2})$

Step 2.1.1.2

Rewrite the expression.

$G = t (3 n - Q^{2})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $t (3 n - Q^{2})$ .

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Step 2.2.1.1

Apply the distributive property.

$G = t (3 n) + t (- Q^{2})$

Step 2.2.1.2

Simplify the expression.

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Step 2.2.1.2.1

Rewrite using the commutative property of multiplication.

$G = 3 t n + t (- Q^{2})$

Step 2.2.1.2.2

Rewrite using the commutative property of multiplication.

$G = 3 t n - t Q^{2}$

Step 2.2.1.2.3

Move $t$ .

$G = 3 n t - t Q^{2}$

Step 2.2.1.2.4

Reorder $3 n t$ and $- t Q^{2}$ .

$G = - t Q^{2} + 3 n t$