x*1.16x=10890

Solution for x*1.16x=10890 equation:

x*1.16x=10890

We move all terms to the left:

x*1.16x-(10890)=0

Wy multiply elements

x^2-10890=0

a = 1; b = 0; c = -10890;
Δ = b2-4ac
Δ = 02-4·1·(-10890)
Δ = 43560
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:

$\sqrt{\Delta}=\sqrt{43560}=\sqrt{4356*10}=\sqrt{4356}*\sqrt{10}=66\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-66\sqrt{10}}{2*1}=\frac{0-66\sqrt{10}}{2}
=-\frac{66\sqrt{10}}{2}
=-33\sqrt{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+66\sqrt{10}}{2*1}=\frac{0+66\sqrt{10}}{2}
=\frac{66\sqrt{10}}{2}
=33\sqrt{10}
$