-5x(x+2)=3x+4(6+x)

Solution for -5x(x+2)=3x+4(6+x) equation:

-5x(x+2)=3x+4(6+x)

We move all terms to the left:

-5x(x+2)-(3x+4(6+x))=0

We add all the numbers together, and all the variables

-5x(x+2)-(3x+4(x+6))=0

We multiply parentheses

-5x^2-10x-(3x+4(x+6))=0


We calculate terms in parentheses: -(3x+4(x+6)), so:

3x+4(x+6)

We multiply parentheses

3x+4x+24

We add all the numbers together, and all the variables

7x+24

Back to the equation:

-(7x+24)


We get rid of parentheses

-5x^2-10x-7x-24=0

We add all the numbers together, and all the variables

-5x^2-17x-24=0

a = -5; b = -17; c = -24;
Δ = b2-4ac
Δ = -172-4·(-5)·(-24)
Δ = -191
Delta is less than zero, so there is no solution for the equation