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-5(-5x+12)6x=95
We move all terms to the left:
-5(-5x+12)6x-(95)=0
We multiply parentheses
150x^2-360x-95=0
a = 150; b = -360; c = -95;
Δ = b2-4ac
Δ = -3602-4·150·(-95)
Δ = 186600
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{186600}=\sqrt{100*1866}=\sqrt{100}*\sqrt{1866}=10\sqrt{1866}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-360)-10\sqrt{1866}}{2*150}=\frac{360-10\sqrt{1866}}{300} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-360)+10\sqrt{1866}}{2*150}=\frac{360+10\sqrt{1866}}{300} $
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