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(7x-6)(4x+5)=0
We multiply parentheses ..
(+28x^2+35x-24x-30)=0
We get rid of parentheses
28x^2+35x-24x-30=0
We add all the numbers together, and all the variables
28x^2+11x-30=0
a = 28; b = 11; c = -30;
Δ = b2-4ac
Δ = 112-4·28·(-30)
Δ = 3481
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{3481}=59$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-59}{2*28}=\frac{-70}{56} =-1+1/4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+59}{2*28}=\frac{48}{56} =6/7 $
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