11*9*x+27+23=89

Solution for 11*9*x+27+23=89 equation:

11*9*x+27+23=89

We move all terms to the left:

11*9*x+27+23-(89)=0

We add all the numbers together, and all the variables

11*9*x-39=0

Wy multiply elements

99x*x-39=0

Wy multiply elements

99x^2-39=0

a = 99; b = 0; c = -39;
Δ = b2-4ac
Δ = 02-4·99·(-39)
Δ = 15444
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:

$\sqrt{\Delta}=\sqrt{15444}=\sqrt{36*429}=\sqrt{36}*\sqrt{429}=6\sqrt{429}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{429}}{2*99}=\frac{0-6\sqrt{429}}{198}
=-\frac{6\sqrt{429}}{198}
=-\frac{\sqrt{429}}{33}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{429}}{2*99}=\frac{0+6\sqrt{429}}{198}
=\frac{6\sqrt{429}}{198}
=\frac{\sqrt{429}}{33}
$