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(8x-12)(7x+77)-5x=0
We add all the numbers together, and all the variables
-5x+(8x-12)(7x+77)=0
We multiply parentheses ..
(+56x^2+616x-84x-924)-5x=0
We get rid of parentheses
56x^2+616x-84x-5x-924=0
We add all the numbers together, and all the variables
56x^2+527x-924=0
a = 56; b = 527; c = -924;
Δ = b2-4ac
Δ = 5272-4·56·(-924)
Δ = 484705
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{-(527)-\sqrt{484705}}{2*56}=\frac{-527-\sqrt{484705}}{112} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(527)+\sqrt{484705}}{2*56}=\frac{-527+\sqrt{484705}}{112} $
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