The sum of all real values of for which is equal to _ _ _ _.

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

The sum of all real values of

x

for which

\frac{3x^2 - 9x + 17}{x^2 + 3x + 10} = \frac{5x^2 - 7x + 19}{3x^2 + 5x + 12}

is equal to \_\_\_\_.