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x*x+36+6x+4+10x+10=180
We move all terms to the left:
x*x+36+6x+4+10x+10-(180)=0
We add all the numbers together, and all the variables
16x+x*x-130=0
Wy multiply elements
x^2+16x-130=0
a = 1; b = 16; c = -130;
Δ = b2-4ac
Δ = 162-4·1·(-130)
Δ = 776
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{776}=\sqrt{4*194}=\sqrt{4}*\sqrt{194}=2\sqrt{194}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-2\sqrt{194}}{2*1}=\frac{-16-2\sqrt{194}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+2\sqrt{194}}{2*1}=\frac{-16+2\sqrt{194}}{2} $
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