Question
$$0 = -1740x^2+361044x-13294764$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 30087 }{ 290 }-\dfrac{\sqrt{ 262647309 }}{ 290 } & x_2 = \dfrac{ 30087 }{ 290 }+\dfrac{\sqrt{ 262647309 }}{ 290 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 0 &= -1740x^2+361044x-13294764&& \text{move all terms to the left hand side } \\[1 em]0+1740x^2-361044x+13294764 &= 0&& \text{simplify left side} \\[1 em]1740x^2-361044x+13294764 &= 0&& \\[1 em] \end{aligned} $$
$ 1740x^{2}-361044x+13294764 = 0 $ is a quadratic equation.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this equation.
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