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2x-7-3(3x+8)4x+9=0
We add all the numbers together, and all the variables
2x-3(3x+8)4x+2=0
We multiply parentheses
-36x^2+2x-96x+2=0
We add all the numbers together, and all the variables
-36x^2-94x+2=0
a = -36; b = -94; c = +2;
Δ = b2-4ac
Δ = -942-4·(-36)·2
Δ = 9124
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{9124}=\sqrt{4*2281}=\sqrt{4}*\sqrt{2281}=2\sqrt{2281}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-94)-2\sqrt{2281}}{2*-36}=\frac{94-2\sqrt{2281}}{-72} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-94)+2\sqrt{2281}}{2*-36}=\frac{94+2\sqrt{2281}}{-72} $
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