x^2=70x+60x^2-1200

Solution for x^2=70x+60x^2-1200 equation:

x^2=70x+60x^2-1200

We move all terms to the left:

x^2-(70x+60x^2-1200)=0

We get rid of parentheses

x^2-60x^2-70x+1200=0

We add all the numbers together, and all the variables

-59x^2-70x+1200=0

a = -59; b = -70; c = +1200;
Δ = b2-4ac
Δ = -702-4·(-59)·1200
Δ = 288100
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:

$\sqrt{\Delta}=\sqrt{288100}=\sqrt{100*2881}=\sqrt{100}*\sqrt{2881}=10\sqrt{2881}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-10\sqrt{2881}}{2*-59}=\frac{70-10\sqrt{2881}}{-118}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+10\sqrt{2881}}{2*-59}=\frac{70+10\sqrt{2881}}{-118}
$