x(x+3)+5(x+3)=12(x+3)(x-3)

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Solution for x(x+3)+5(x+3)=12(x+3)(x-3) equation: 



x(x+3)+5(x+3)=12(x+3)(x-3)

We move all terms to the left:

x(x+3)+5(x+3)-(12(x+3)(x-3))=0

We use the square of the difference formula

x^2+x(x+3)+5(x+3)+9=0

We multiply parentheses

x^2+x^2+3x+5x+15+9=0

We add all the numbers together, and all the variables

2x^2+8x+24=0

a = 2; b = 8; c = +24;
Δ = b2-4ac
Δ = 82-4·2·24
Δ = -128
Delta is less than zero, so there is no solution for the equation

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