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4(7x-9)(5x+7)=0
We multiply parentheses ..
4(+35x^2+49x-45x-63)=0
We multiply parentheses
140x^2+196x-180x-252=0
We add all the numbers together, and all the variables
140x^2+16x-252=0
a = 140; b = 16; c = -252;
Δ = b2-4ac
Δ = 162-4·140·(-252)
Δ = 141376
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{141376}=376$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-376}{2*140}=\frac{-392}{280} =-1+2/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+376}{2*140}=\frac{360}{280} =1+2/7 $
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