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140=6x^2-x
We move all terms to the left:
140-(6x^2-x)=0
We get rid of parentheses
-6x^2+x+140=0
a = -6; b = 1; c = +140;
Δ = b2-4ac
Δ = 12-4·(-6)·140
Δ = 3361
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{-(1)-\sqrt{3361}}{2*-6}=\frac{-1-\sqrt{3361}}{-12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{3361}}{2*-6}=\frac{-1+\sqrt{3361}}{-12} $
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