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18x(3x+2x)-7+14=387
We move all terms to the left:
18x(3x+2x)-7+14-(387)=0
We add all the numbers together, and all the variables
18x(+5x)-7+14-387=0
We add all the numbers together, and all the variables
18x(+5x)-380=0
We multiply parentheses
90x^2-380=0
a = 90; b = 0; c = -380;
Δ = b2-4ac
Δ = 02-4·90·(-380)
Δ = 136800
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{136800}=\sqrt{3600*38}=\sqrt{3600}*\sqrt{38}=60\sqrt{38}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60\sqrt{38}}{2*90}=\frac{0-60\sqrt{38}}{180} =-\frac{60\sqrt{38}}{180} =-\frac{\sqrt{38}}{3} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60\sqrt{38}}{2*90}=\frac{0+60\sqrt{38}}{180} =\frac{60\sqrt{38}}{180} =\frac{\sqrt{38}}{3} $
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