Final answer:
To solve the equation, find the common denominator of your fractions on the left side of the equation, add together using the common denominator, and then multiply out the denominator on the right side to match the denominator on the left. The numerator on the right will match the newly found numerator on the left.
Step-by-step explanation:
Your equation, (2c)/(c²-2c-1)+(4c)/(c²+3c-4)=(?)/((c-1)(c+1)(c+4)), can be solved by first finding the common denominator between your two fractions on the left side of the equation. Your common denominator would be the product of (c²-2c-1) and (c²+3c-4).
Next, solve your fractions on the left by adding them together using the common denominator. This will give you a new numerator on the left side of your equation.
Finally, to find the missing numerator on the right side of your equation, multiply out the denominator on the right side to find a quadratic equation that matches your denominator on the left side. Your numerator on the right side is the same as the numerator on your left side once you have used the common denominator to add your fractions.
Learn more about Solving Fractions