0.3(-x+6)-1/2x=-0.76+0.36

Solution for 0.3(-x+6)-1/2x=-0.76+0.36 equation:

0.3(-x+6)-1/2x=-0.76+0.36

We move all terms to the left:

0.3(-x+6)-1/2x-(-0.76+0.36)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We add all the numbers together, and all the variables

0.3(-1x+6)-1/2x-(-0.4)=0

We add all the numbers together, and all the variables

0.3(-1x+6)-1/2x+0.4=0

We multiply parentheses

-0.3x-1/2x+1.8+0.4=0

We multiply all the terms by the denominator


-(0.3x)*2x+(1.8)*2x+(0.4)*2x-1=0

We add all the numbers together, and all the variables

-(+0.3x)*2x+(1.8)*2x+(0.4)*2x-1=0

We multiply parentheses

-0x^2+3.6x+0.8x-1=0

We add all the numbers together, and all the variables

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

a = -1; b = 4.4; c = -1;
Δ = b2-4ac
Δ = 4.42-4·(-1)·(-1)
Δ = 15.36
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{15.36}}{2*-1}=\frac{-4.4-\sqrt{15.36}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4.4)+\sqrt{15.36}}{2*-1}=\frac{-4.4+\sqrt{15.36}}{-2}
$