5/2*x+8=-2x+10

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Solution for 5/2*x+8=-2x+10 equation: 



5/2x+8=-2x+10

We move all terms to the left:

5/2x+8-(-2x+10)=0



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R



We get rid of parentheses

5/2x+2x-10+8=0

We multiply all the terms by the denominator


2x*2x-10*2x+8*2x+5=0

Wy multiply elements

4x^2-20x+16x+5=0

We add all the numbers together, and all the variables

4x^2-4x+5=0

a = 4; b = -4; c = +5;
Δ = b2-4ac
Δ = -42-4·4·5
Δ = -64
Delta is less than zero, so there is no solution for the equation

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