11x-3x-5x-3x=5(x-2)3x

Solution for 11x-3x-5x-3x=5(x-2)3x equation:

11x-3x-5x-3x=5(x-2)3x

We move all terms to the left:

11x-3x-5x-3x-(5(x-2)3x)=0

We add all the numbers together, and all the variables

-(5(x-2)3x)=0


We calculate terms in parentheses: -(5(x-2)3x), so:

5(x-2)3x

We multiply parentheses

15x^2-30x

Back to the equation:

-(15x^2-30x)


We get rid of parentheses

-15x^2+30x=0

a = -15; b = 30; c = 0;
Δ = b2-4ac
Δ = 302-4·(-15)·0
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-30}{2*-15}=\frac{-60}{-30}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+30}{2*-15}=\frac{0}{-30}
=0
$