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-3x(-5x+3)-4x+1=91
We move all terms to the left:
-3x(-5x+3)-4x+1-(91)=0
We add all the numbers together, and all the variables
-4x-3x(-5x+3)-90=0
We multiply parentheses
15x^2-4x-9x-90=0
We add all the numbers together, and all the variables
15x^2-13x-90=0
a = 15; b = -13; c = -90;
Δ = b2-4ac
Δ = -132-4·15·(-90)
Δ = 5569
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-13)-\sqrt{5569}}{2*15}=\frac{13-\sqrt{5569}}{30} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+\sqrt{5569}}{2*15}=\frac{13+\sqrt{5569}}{30} $
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