Answer:
There are no real solutions
Explanation:
6x(x+1)=-2(3x+9)
divide both sides by 2
3x*(x+1)= -(3x+9)
distibute
3x^2 + 3x= -3x-9
move variable and change sign
3x^2+3x+3x=-9
collect like terms
3x^2+6x= -9
divide both sides by 3
x^2 +2x=-3
add 1^2 to both sides of the equation
x^2+2x+1^2=-3+1^2
factor and simplify
(x+1)^2= -2
solve for x
(This statement is false for any value of x because the power function with an even exponent is always positive or 0)