Solve \dfrac{6}{2k - 6} = \dfrac{1}{3}

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Type your math problem... \dfrac{6}{2k - 6} = \dfrac{1}{3}

Question

Solve the equation

Solve for d

Solve for k

d = 0

Evaluate

d \times \frac{6}{2 k - 6} = d \times \frac{1}{3}

Simplify

More Steps

Evaluate

d \times \frac{6}{2 k - 6}

Divide the terms

More Steps

Evaluate

\frac{6}{2 k - 6}

Rewrite the fraction

\frac{6}{2 ( k - 3 )}

Reduce the fraction

\frac{3}{k - 3}

d \times \frac{3}{k - 3}

Multiply the terms

\frac{d \times 3}{k - 3}

Use the commutative property to reorder the terms

\frac{3 d}{k - 3}

\frac{3 d}{k - 3} = d \times \frac{1}{3}

Use the commutative property to reorder the terms

\frac{3 d}{k - 3} = \frac{1}{3} d

Rewrite the expression

\frac{3 d}{k - 3} = \frac{d}{3}

Cross multiply

3 d \times 3 = (k - 3) d

Simplify the equation

9 d = (k - 3) d

Add or subtract both sides

9 d - (k - 3) d = 0

Calculate

9 d + (- k + 3) d = 0

Simplify

More Steps

Evaluate

9 d + (- k + 3) d

Collect like terms by calculating the sum or difference of their coefficients

(9 - k + 3) d

Add the numbers

(12 - k) d

(12 - k) d = 0

Solution

d = 0

Show Solution

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