$$ \begin{aligned} 107328\cdot(1-x^{8+1})-107328\cdot(1-x) &= (1-x)\cdot930200&& \text{simplify left and right hand side} \\[1 em]107328\cdot(1-x^9)-107328\cdot(1-x) &= 930200-930200x&& \\[1 em]107328-107328x^9-(107328-107328x) &= -930200x+930200&& \\[1 em]107328-107328x^9-107328+107328x &= -930200x+930200&& \\[1 em]107328-107328x^9-107328+107328x &= -930200x+930200&& \\[1 em]-107328x^9+107328x &= -930200x+930200&& \text{move all terms to the left hand side } \\[1 em]-107328x^9+107328x+930200x-930200 &= 0&& \text{simplify left side} \\[1 em]-107328x^9+1037528x-930200 &= 0&& \\[1 em] \end{aligned} $$

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