5.4x-1.745=0.2x(-0.7x+11)

Solution for 5.4x-1.745=0.2x(-0.7x+11) equation:

5.4x-1.745=0.2x(-0.7x+11)

We move all terms to the left:

5.4x-1.745-(0.2x(-0.7x+11))=0


We calculate terms in parentheses: -(0.2x(-0.7x+11)), so:

0.2x(-0.7x+11)

We multiply parentheses

0x^2+0x

We add all the numbers together, and all the variables

x^2+x

Back to the equation:

-(x^2+x)


We get rid of parentheses

-x^2+5.4x-x-1.745=0

We add all the numbers together, and all the variables

-1x^2+4.4x-1.745=0

a = -1; b = 4.4; c = -1.745;
Δ = b2-4ac
Δ = 4.42-4·(-1)·(-1.745)
Δ = 12.38
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{-(4.4)-\sqrt{12.38}}{2*-1}=\frac{-4.4-\sqrt{12.38}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4.4)+\sqrt{12.38}}{2*-1}=\frac{-4.4+\sqrt{12.38}}{-2}
$