Solve the rational equation: $ \frac{x}{x+6} \cdot \frac{x+4}{4x} = \frac{1}{x+6} $ a. $ x = 6 $ b. No...

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3. Solve the rational equation: $ \frac{x}{x+6} \cdot \frac{x+4}{4x} = \frac{1}{x+6} $ a. $ x = 6 $ b. No solution c. $ x = 0 $ d. $ x = 4 $

SnapAndSolve AI · Accepted Answer

To solve the equation $ \frac{x}{x+6} \cdot \frac{x+4}{4x} = \frac{1}{x+6} $, we first multiply both sides by $ x+6 $ to eliminate the denominator:$ \frac{x(x+4)}{4x} = 1 $Simplify the left side:$ \frac{x^2 + 4x}{4x} = 1 $Cancel $ x $ from the numerator and denominator:$ \frac{x + 4}{4} = 1 $Multiply both sides by 4:$ x + 4 = 4 $Subtract 4 from both sides:$ x = 0 $Thus, the solution is:c. $ x = 0 $

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Solve the rational equation: \( \frac{x}{x+6} \cdot \frac{x+4}{4x} = \frac{1}{x+6} \) a. \( x = 6 \) b. No...

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