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6(7x-5)(4x+7)=0
We multiply parentheses ..
6(+28x^2+49x-20x-35)=0
We multiply parentheses
168x^2+294x-120x-210=0
We add all the numbers together, and all the variables
168x^2+174x-210=0
a = 168; b = 174; c = -210;
Δ = b2-4ac
Δ = 1742-4·168·(-210)
Δ = 171396
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{171396}=414$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(174)-414}{2*168}=\frac{-588}{336} =-1+3/4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(174)+414}{2*168}=\frac{240}{336} =5/7 $
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