2.5x-(1.1x-2)=2x(0.7x)

Solution for 2.5x-(1.1x-2)=2x(0.7x) equation:

2.5x-(1.1x-2)=2x(0.7x)

We move all terms to the left:

2.5x-(1.1x-2)-(2x(0.7x))=0

We add all the numbers together, and all the variables

2.5x-(1.1x-2)-(2x(+0.7x))=0

We get rid of parentheses

2.5x-1.1x-(2x(+0.7x))+2=0


We calculate terms in parentheses: -(2x(+0.7x)), so:

2x(+0.7x)

We multiply parentheses

0x^2

We add all the numbers together, and all the variables

x^2

Back to the equation:

-(x^2)


determiningTheFunctionDomain
-x^2+2.5x-1.1x+2=0

We add all the numbers together, and all the variables

-1x^2+1.4x+2=0

a = -1; b = 1.4; c = +2;
Δ = b2-4ac
Δ = 1.42-4·(-1)·2
Δ = 9.96
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{-(1.4)-\sqrt{9.96}}{2*-1}=\frac{-1.4-\sqrt{9.96}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.4)+\sqrt{9.96}}{2*-1}=\frac{-1.4+\sqrt{9.96}}{-2}
$