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2(7x-5)6x+2=0
We multiply parentheses
84x^2-60x+2=0
a = 84; b = -60; c = +2;
Δ = b2-4ac
Δ = -602-4·84·2
Δ = 2928
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{2928}=\sqrt{16*183}=\sqrt{16}*\sqrt{183}=4\sqrt{183}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-4\sqrt{183}}{2*84}=\frac{60-4\sqrt{183}}{168} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+4\sqrt{183}}{2*84}=\frac{60+4\sqrt{183}}{168} $
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