5x^2-70+4x^2-3x=180

Solution for 5x^2-70+4x^2-3x=180 equation:

5x^2-70+4x^2-3x=180

We move all terms to the left:

5x^2-70+4x^2-3x-(180)=0

We add all the numbers together, and all the variables

9x^2-3x-250=0

a = 9; b = -3; c = -250;
Δ = b2-4ac
Δ = -32-4·9·(-250)
Δ = 9009
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:

$\sqrt{\Delta}=\sqrt{9009}=\sqrt{9*1001}=\sqrt{9}*\sqrt{1001}=3\sqrt{1001}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-3\sqrt{1001}}{2*9}=\frac{3-3\sqrt{1001}}{18}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+3\sqrt{1001}}{2*9}=\frac{3+3\sqrt{1001}}{18}
$