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

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

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

We move all terms to the left:

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

We add all the numbers together, and all the variables

4x-3x(x+2)-(5(-1x+4))=0

We multiply parentheses

-3x^2+4x-6x-(5(-1x+4))=0


We calculate terms in parentheses: -(5(-1x+4)), so:

5(-1x+4)

We multiply parentheses

-5x+20

Back to the equation:

-(-5x+20)


We add all the numbers together, and all the variables

-3x^2-2x-(-5x+20)=0

We get rid of parentheses

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

We add all the numbers together, and all the variables

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

a = -3; b = 3; c = -20;
Δ = b2-4ac
Δ = 32-4·(-3)·(-20)
Δ = -231
Delta is less than zero, so there is no solution for the equation