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(x+11)3x-7=588
We move all terms to the left:
(x+11)3x-7-(588)=0
We add all the numbers together, and all the variables
(x+11)3x-595=0
We multiply parentheses
3x^2+33x-595=0
a = 3; b = 33; c = -595;
Δ = b2-4ac
Δ = 332-4·3·(-595)
Δ = 8229
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{-(33)-\sqrt{8229}}{2*3}=\frac{-33-\sqrt{8229}}{6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33)+\sqrt{8229}}{2*3}=\frac{-33+\sqrt{8229}}{6} $
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