90+3x(2)=180

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Solution for 90+3x(2)=180 equation:



90+3x(2)=180
We move all terms to the left:
90+3x(2)-(180)=0
We add all the numbers together, and all the variables
3x^2-90=0
a = 3; b = 0; c = -90;
Δ = b2-4ac
Δ = 02-4·3·(-90)
Δ = 1080
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:
$\sqrt{\Delta}=\sqrt{1080}=\sqrt{36*30}=\sqrt{36}*\sqrt{30}=6\sqrt{30}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{30}}{2*3}=\frac{0-6\sqrt{30}}{6} =-\frac{6\sqrt{30}}{6} =-\sqrt{30} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{30}}{2*3}=\frac{0+6\sqrt{30}}{6} =\frac{6\sqrt{30}}{6} =\sqrt{30} $

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