3x(2)=x+90

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

3x(2)=x+90

We move all terms to the left:

3x(2)-(x+90)=0

We add all the numbers together, and all the variables

3x^2-(x+90)=0

We get rid of parentheses

3x^2-x-90=0

We add all the numbers together, and all the variables

3x^2-1x-90=0

a = 3; b = -1; c = -90;
Δ = b2-4ac
Δ = -12-4·3·(-90)
Δ = 1081
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{1081}}{2*3}=\frac{1-\sqrt{1081}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{1081}}{2*3}=\frac{1+\sqrt{1081}}{6}
$