First we need to factor trinomial $ \color{blue}{ -100x^2+300000x } $ and than we use factored form to solve an equation $ \color{blue}{ -100x^2+300000x = 0} $.

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

$$ \begin{aligned} -100x^2+300000x &= 0 \,\,\, / \color{orangered}{\cdot \, -1 } \\[0.9 em ] 100x^2-300000x &=0 \end{aligned} $$

Step 2: Simplify equation by dividing all coefficients by 100

$$ \begin{aligned} 100x^2-300000x &= 0 \,\,\, / \color{orangered}{ : 100 } \\[0.9 em ] x^2-3000x &=0 \end{aligned} $$

Step 1: Factor $ x $ out of $ x^{2}-3000x $ :

$$ x^{2}-3000x = x \cdot( x-3000 ) $$

Step 2: Set each factor to zero and solve equations.

$$ \begin{array}{ccc} \begin{aligned} x &= 0 \\ ~ & ~ \end{aligned} & ~ & \begin{aligned} x-3000 &= 0 \\ x &= 3000 \end{aligned} \end{array} $$

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