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6x*4x=210
We move all terms to the left:
6x*4x-(210)=0
Wy multiply elements
24x^2-210=0
a = 24; b = 0; c = -210;
Δ = b2-4ac
Δ = 02-4·24·(-210)
Δ = 20160
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{20160}=\sqrt{576*35}=\sqrt{576}*\sqrt{35}=24\sqrt{35}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{35}}{2*24}=\frac{0-24\sqrt{35}}{48} =-\frac{24\sqrt{35}}{48} =-\frac{\sqrt{35}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{35}}{2*24}=\frac{0+24\sqrt{35}}{48} =\frac{24\sqrt{35}}{48} =\frac{\sqrt{35}}{2} $
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