Move right part of the equation to left part with negative sign.
The equation is transformed from (x−6)2=−24x to 24x+(x−6)2=0 Expand the expression in the equation 24x+(x−6)2=0 We get the quadratic equation x2+12x+36=0 This equation is of the form
a*x^2 + b*x + c = 0
A quadratic equation can be solved using the discriminant. The roots of the quadratic equation: x1=2aD−b x2=2a−D−b where D = b^2 - 4*a*c - it is the discriminant. Because a=1 b=12 c=36 , then