Solve the rational equation $\frac{x}{x-3}+\frac{4}{x+5}=\frac{x^2+8x-9}{x^2+2x-15}$

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Final answer to the problem

The equation has no solutions.

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1

Factor the trinomial $x^2+2x-15$ finding two numbers that multiply to form $-15$ and added form $2$

$\begin{matrix}\left(-3\right)\left(5\right)=-15\\ \left(-3\right)+\left(5\right)=2\end{matrix}$

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Learn how to solve problems step by step online. Solve the rational equation x/(x-3)+4/(x+5)=(x^2+8x+-9)/(x^2+2x+-15). Factor the trinomial x^2+2x-15 finding two numbers that multiply to form -15 and added form 2. Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values. Factor the trinomial x^2+8x-9 finding two numbers that multiply to form -9 and added form 8. Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values.

Final answer to the problem

The equation has no solutions.

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