x^2=7x+60x^2-1200

Solution for x^2=7x+60x^2-1200 equation:

x^2=7x+60x^2-1200

We move all terms to the left:

x^2-(7x+60x^2-1200)=0

We get rid of parentheses

x^2-60x^2-7x+1200=0

We add all the numbers together, and all the variables

-59x^2-7x+1200=0

a = -59; b = -7; c = +1200;
Δ = b2-4ac
Δ = -72-4·(-59)·1200
Δ = 283249
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-\sqrt{283249}}{2*-59}=\frac{7-\sqrt{283249}}{-118}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{283249}}{2*-59}=\frac{7+\sqrt{283249}}{-118}
$