5x*9x+40=180

Solution for 5x*9x+40=180 equation:

5x*9x+40=180

We move all terms to the left:

5x*9x+40-(180)=0

We add all the numbers together, and all the variables

5x*9x-140=0

Wy multiply elements

45x^2-140=0

a = 45; b = 0; c = -140;
Δ = b2-4ac
Δ = 02-4·45·(-140)
Δ = 25200
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:

$\sqrt{\Delta}=\sqrt{25200}=\sqrt{3600*7}=\sqrt{3600}*\sqrt{7}=60\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60\sqrt{7}}{2*45}=\frac{0-60\sqrt{7}}{90}
=-\frac{60\sqrt{7}}{90}
=-\frac{2\sqrt{7}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60\sqrt{7}}{2*45}=\frac{0+60\sqrt{7}}{90}
=\frac{60\sqrt{7}}{90}
=\frac{2\sqrt{7}}{3}
$