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Multiply both sides of the equation by $x^3-9x$
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$x^5-2x^4-10=-18x^2+81x-10+\left(x^2-2x+9\right)\left(x^3-9x\right)$
Learn how to solve problems step by step online. Solve the rational equation (x^5-2x^4+-10)/(x^3-9x)=x^2-2x+9(-18x^2+81x+-10)/(x^3-9x). Multiply both sides of the equation by x^3-9x. Move everything to the left hand side of the equation. Subtract the values 10 and -10. Simplify the product -(x^2-2x+9).