x=(4-0.25x)(6+x)

Solution for x=(4-0.25x)(6+x) equation:

x=(4-0.25x)(6+x)

We move all terms to the left:

x-((4-0.25x)(6+x))=0

We add all the numbers together, and all the variables

x-((-0.25x+4)(x+6))=0

We multiply parentheses ..

-((+0x^2+0x+4x+24))+x=0


We calculate terms in parentheses: -((+0x^2+0x+4x+24)), so:

(+0x^2+0x+4x+24)

We get rid of parentheses

0x^2+0x+4x+24

We add all the numbers together, and all the variables

x^2+5x+24

Back to the equation:

-(x^2+5x+24)


We add all the numbers together, and all the variables

x-(x^2+5x+24)=0

We get rid of parentheses

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

We add all the numbers together, and all the variables

-1x^2-4x-24=0

a = -1; b = -4; c = -24;
Δ = b2-4ac
Δ = -42-4·(-1)·(-24)
Δ = -80
Delta is less than zero, so there is no solution for the equation