7x2+36+90=180

Solution for 7x2+36+90=180 equation:

7x^2+36+90=180

We move all terms to the left:

7x^2+36+90-(180)=0

We add all the numbers together, and all the variables

7x^2-54=0

a = 7; b = 0; c = -54;
Δ = b2-4ac
Δ = 02-4·7·(-54)
Δ = 1512
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:

$\sqrt{\Delta}=\sqrt{1512}=\sqrt{36*42}=\sqrt{36}*\sqrt{42}=6\sqrt{42}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{42}}{2*7}=\frac{0-6\sqrt{42}}{14}
=-\frac{6\sqrt{42}}{14}
=-\frac{3\sqrt{42}}{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{42}}{2*7}=\frac{0+6\sqrt{42}}{14}
=\frac{6\sqrt{42}}{14}
=\frac{3\sqrt{42}}{7}
$