3x(x+6)=5(x-4)

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Solution for 3x(x+6)=5(x-4) equation: 



3x(x+6)=5(x-4)

We move all terms to the left:

3x(x+6)-(5(x-4))=0

We multiply parentheses

3x^2+18x-(5(x-4))=0



We calculate terms in parentheses: -(5(x-4)), so:

5(x-4)

We multiply parentheses

5x-20

Back to the equation:

-(5x-20)



We get rid of parentheses

3x^2+18x-5x+20=0

We add all the numbers together, and all the variables

3x^2+13x+20=0

a = 3; b = 13; c = +20;
Δ = b2-4ac
Δ = 132-4·3·20
Δ = -71
Delta is less than zero, so there is no solution for the equation

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