11x=8x-3x(5-2x)

Solution for 11x=8x-3x(5-2x) equation:

11x=8x-3x(5-2x)

We move all terms to the left:

11x-(8x-3x(5-2x))=0

We add all the numbers together, and all the variables

11x-(8x-3x(-2x+5))=0


We calculate terms in parentheses: -(8x-3x(-2x+5)), so:

8x-3x(-2x+5)

We multiply parentheses

6x^2+8x-15x

We add all the numbers together, and all the variables

6x^2-7x

Back to the equation:

-(6x^2-7x)


We get rid of parentheses

-6x^2+11x+7x=0

We add all the numbers together, and all the variables

-6x^2+18x=0

a = -6; b = 18; c = 0;
Δ = b2-4ac
Δ = 182-4·(-6)·0
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-18}{2*-6}=\frac{-36}{-12}
=+3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+18}{2*-6}=\frac{0}{-12}
=0
$