x-66=4x(x-66)

Solution for x-66=4x(x-66) equation:

x-66=4x(x-66)

We move all terms to the left:

x-66-(4x(x-66))=0


We calculate terms in parentheses: -(4x(x-66)), so:

4x(x-66)

We multiply parentheses

4x^2-264x

Back to the equation:

-(4x^2-264x)


We get rid of parentheses

-4x^2+x+264x-66=0

We add all the numbers together, and all the variables

-4x^2+265x-66=0

a = -4; b = 265; c = -66;
Δ = b2-4ac
Δ = 2652-4·(-4)·(-66)
Δ = 69169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{69169}=263$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(265)-263}{2*-4}=\frac{-528}{-8}
=+66
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(265)+263}{2*-4}=\frac{-2}{-8}
=1/4
$