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-2(5x+4)3x+3=-18
We move all terms to the left:
-2(5x+4)3x+3-(-18)=0
We add all the numbers together, and all the variables
-2(5x+4)3x+21=0
We multiply parentheses
-30x^2-24x+21=0
a = -30; b = -24; c = +21;
Δ = b2-4ac
Δ = -242-4·(-30)·21
Δ = 3096
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{3096}=\sqrt{36*86}=\sqrt{36}*\sqrt{86}=6\sqrt{86}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-6\sqrt{86}}{2*-30}=\frac{24-6\sqrt{86}}{-60} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+6\sqrt{86}}{2*-30}=\frac{24+6\sqrt{86}}{-60} $
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