5x=3/2x+-1.2

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Solution for 5x=3/2x+-1.2 equation: 



5x=3/2x+-1.2

We move all terms to the left:

5x-(3/2x+-1.2)=0



Domain of the equation: 2x+-1.2)!=0

x∈R



We add all the numbers together, and all the variables

5x-(3/2x-1.2)=0

We get rid of parentheses

5x-3/2x+1.2=0

We multiply all the terms by the denominator


5x*2x+(1.2)*2x-3=0

We multiply parentheses

5x*2x+2.4x-3=0

Wy multiply elements

10x^2+2.4x-3=0

a = 10; b = 2.4; c = -3;
Δ = b2-4ac
Δ = 2.42-4·10·(-3)
Δ = 125.76
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{-(2.4)-\sqrt{125.76}}{2*10}=\frac{-2.4-\sqrt{125.76}}{20}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2.4)+\sqrt{125.76}}{2*10}=\frac{-2.4+\sqrt{125.76}}{20}
$

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