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-7x(-4x+5)=+9x
We move all terms to the left:
-7x(-4x+5)-(+9x)=0
We multiply parentheses
28x^2-35x-(+9x)=0
We get rid of parentheses
28x^2-35x-9x=0
We add all the numbers together, and all the variables
28x^2-44x=0
a = 28; b = -44; c = 0;
Δ = b2-4ac
Δ = -442-4·28·0
Δ = 1936
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{1936}=44$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-44}{2*28}=\frac{0}{56} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+44}{2*28}=\frac{88}{56} =1+4/7 $
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