Question

Solve for the equation, show all your work: 6x(x + 1) = -2(3x + 9)

Answer 1

Answer:

x = 9

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            Answer         x = 9

Answer 2

Answer:

There are no real solutions

Step-by-step 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)