3x(x+5)=5(2x-6)+3

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Solution for 3x(x+5)=5(2x-6)+3 equation: 



3x(x+5)=5(2x-6)+3

We move all terms to the left:

3x(x+5)-(5(2x-6)+3)=0

We multiply parentheses

3x^2+15x-(5(2x-6)+3)=0



We calculate terms in parentheses: -(5(2x-6)+3), so:

5(2x-6)+3

We multiply parentheses

10x-30+3

We add all the numbers together, and all the variables

10x-27

Back to the equation:

-(10x-27)



We get rid of parentheses

3x^2+15x-10x+27=0

We add all the numbers together, and all the variables

3x^2+5x+27=0

a = 3; b = 5; c = +27;
Δ = b2-4ac
Δ = 52-4·3·27
Δ = -299
Delta is less than zero, so there is no solution for the equation

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