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10x(-8x+7)=-170
We move all terms to the left:
10x(-8x+7)-(-170)=0
We add all the numbers together, and all the variables
10x(-8x+7)+170=0
We multiply parentheses
-80x^2+70x+170=0
a = -80; b = 70; c = +170;
Δ = b2-4ac
Δ = 702-4·(-80)·170
Δ = 59300
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{59300}=\sqrt{100*593}=\sqrt{100}*\sqrt{593}=10\sqrt{593}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(70)-10\sqrt{593}}{2*-80}=\frac{-70-10\sqrt{593}}{-160} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(70)+10\sqrt{593}}{2*-80}=\frac{-70+10\sqrt{593}}{-160} $
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