4x-1(-1/2x+2)=-11

Solution for 4x-1(-1/2x+2)=-11 equation:

4x-1(-1/2x+2)=-11

We move all terms to the left:

4x-1(-1/2x+2)-(-11)=0


Domain of the equation: 2x+2)!=0

x∈R


We add all the numbers together, and all the variables

4x-1(-1/2x+2)+11=0

We multiply all the terms by the denominator


4x*2x+11*2x-1+2)-1(+2)=0

We add all the numbers together, and all the variables

4x*2x+11*2x-1+2)-12=0

We add all the numbers together, and all the variables

4x*2x+11*2x=0

Wy multiply elements

8x^2+22x=0

a = 8; b = 22; c = 0;
Δ = b2-4ac
Δ = 222-4·8·0
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(22)-22}{2*8}=\frac{-44}{16}
=-2+3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(22)+22}{2*8}=\frac{0}{16}
=0
$