10x(x-1)=2(2x-5)

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Solution for 10x(x-1)=2(2x-5) equation: 



10x(x-1)=2(2x-5)

We move all terms to the left:

10x(x-1)-(2(2x-5))=0

We multiply parentheses

10x^2-10x-(2(2x-5))=0



We calculate terms in parentheses: -(2(2x-5)), so:

2(2x-5)

We multiply parentheses

4x-10

Back to the equation:

-(4x-10)



We get rid of parentheses

10x^2-10x-4x+10=0

We add all the numbers together, and all the variables

10x^2-14x+10=0

a = 10; b = -14; c = +10;
Δ = b2-4ac
Δ = -142-4·10·10
Δ = -204
Delta is less than zero, so there is no solution for the equation

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