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(11x-1)(20x-3)151=180
We move all terms to the left:
(11x-1)(20x-3)151-(180)=0
We multiply parentheses ..
(+220x^2-33x-20x+3)151-180=0
We multiply parentheses
33220x^2-4983x-3020x+453-180=0
We add all the numbers together, and all the variables
33220x^2-8003x+273=0
a = 33220; b = -8003; c = +273;
Δ = b2-4ac
Δ = -80032-4·33220·273
Δ = 27771769
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{-(-8003)-\sqrt{27771769}}{2*33220}=\frac{8003-\sqrt{27771769}}{66440} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8003)+\sqrt{27771769}}{2*33220}=\frac{8003+\sqrt{27771769}}{66440} $
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