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(7x-14)(5x-6)+7(7x-14)=0
We multiply parentheses
(7x-14)(5x-6)+49x-98=0
We multiply parentheses ..
(+35x^2-42x-70x+84)+49x-98=0
We get rid of parentheses
35x^2-42x-70x+49x+84-98=0
We add all the numbers together, and all the variables
35x^2-63x-14=0
a = 35; b = -63; c = -14;
Δ = b2-4ac
Δ = -632-4·35·(-14)
Δ = 5929
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{5929}=77$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-63)-77}{2*35}=\frac{-14}{70} =-1/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-63)+77}{2*35}=\frac{140}{70} =2 $
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