Question
$$176997+6302x+\frac{258}{5}x^2 = 1000000$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 15755 }{ 258 }-\dfrac{\sqrt{ 1309893895 }}{ 258 } & x_2 = -\dfrac{ 15755 }{ 258 }+\dfrac{\sqrt{ 1309893895 }}{ 258 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 176997+6302x+\frac{258}{5}x^2 &= 1000000&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5\cdot176997+5\cdot6302x+5 \cdot \frac{258}{5}x^2 &= 5\cdot1000000&& \text{cancel out the denominators} \\[1 em]884985+31510x+258x^2 &= 5000000&& \text{simplify left side} \\[1 em]258x^2+31510x+884985 &= 5000000&& \text{move all terms to the left hand side } \\[1 em]258x^2+31510x+884985-5000000 &= 0&& \text{simplify left side} \\[1 em]258x^2+31510x-4115015 &= 0&& \\[1 em] \end{aligned} $$
$ 258x^{2}+31510x-4115015 = 0 $ is a quadratic equation.
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