First we need to factor trinomial $ \color{blue}{ -4170x^2+2330x+1130 } $ and than we use factored form to solve an equation $ \color{blue}{ -4170x^2+2330x+1130 = 0} $.

Step 1: We can simplify equation by multiplying both sides by -1. After multiplying we have the following equation:

$$ \begin{aligned} -4170x^2+2330x+1130 &= 0 \,\,\, / \color{orangered}{\cdot \, -1 } \\[0.9 em ] 4170x^2-2330x-1130 &=0 \end{aligned} $$

Step 2: Simplify equation by dividing all coefficients by 10

$$ \begin{aligned} 4170x^2-2330x-1130 &= 0 \,\,\, / \color{orangered}{ : 10 } \\[0.9 em ] 417x^2-233x-113 &=0 \end{aligned} $$

Since the quadratic trinomial cannot be factored out we solved the problem using quadratic formula.

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