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5x(x+3)-4x=66
We move all terms to the left:
5x(x+3)-4x-(66)=0
We add all the numbers together, and all the variables
-4x+5x(x+3)-66=0
We multiply parentheses
5x^2-4x+15x-66=0
We add all the numbers together, and all the variables
5x^2+11x-66=0
a = 5; b = 11; c = -66;
Δ = b2-4ac
Δ = 112-4·5·(-66)
Δ = 1441
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{-(11)-\sqrt{1441}}{2*5}=\frac{-11-\sqrt{1441}}{10} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+\sqrt{1441}}{2*5}=\frac{-11+\sqrt{1441}}{10} $
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