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(6x-25)(x+30)=180
We move all terms to the left:
(6x-25)(x+30)-(180)=0
We multiply parentheses ..
(+6x^2+180x-25x-750)-180=0
We get rid of parentheses
6x^2+180x-25x-750-180=0
We add all the numbers together, and all the variables
6x^2+155x-930=0
a = 6; b = 155; c = -930;
Δ = b2-4ac
Δ = 1552-4·6·(-930)
Δ = 46345
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(155)-\sqrt{46345}}{2*6}=\frac{-155-\sqrt{46345}}{12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(155)+\sqrt{46345}}{2*6}=\frac{-155+\sqrt{46345}}{12} $
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