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7x(3x=20)180
We move all terms to the left:
7x(3x-(20)180)=0
We multiply parentheses
21x^2-141260x=0
a = 21; b = -141260; c = 0;
Δ = b2-4ac
Δ = -1412602-4·21·0
Δ = 19954387600
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{19954387600}=141260$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-141260)-141260}{2*21}=\frac{0}{42} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-141260)+141260}{2*21}=\frac{282520}{42} =6726+2/3 $
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