x(-4x-7)=5x-x+21

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Solution for x(-4x-7)=5x-x+21 equation: 



x(-4x-7)=5x-x+21

We move all terms to the left:

x(-4x-7)-(5x-x+21)=0

We add all the numbers together, and all the variables

x(-4x-7)-(4x+21)=0

We multiply parentheses

-4x^2-7x-(4x+21)=0

We get rid of parentheses

-4x^2-7x-4x-21=0

We add all the numbers together, and all the variables

-4x^2-11x-21=0

a = -4; b = -11; c = -21;
Δ = b2-4ac
Δ = -112-4·(-4)·(-21)
Δ = -215
Delta is less than zero, so there is no solution for the equation

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