3x(x + 4) = 0?

Question

i have to solve this and in the answers it says x=0 x=-4
how???

Answer 1

3x(x + 4) = 0

ie look at (3x) and (x + 4) as two numbers being multiplied together

now the only way to have two numbers multiply to equal 0 is if one of them is 0. so either 3x can equal 0, or (x + 4) can equal 0.

so writing that out as equations we get:
a) 3x = 0 (divide both sides by 3)
. x = 0

and b) (x + 4) = 0
. x + 4 = 0 (subtract 4 from both sides)
. x = -4


therefore, from those two when get x = 0 or x = -4

therefore 3x * (x+4) will equal 0 if x is 0 or if x is -4

Answer 2

if you have two numbers multiplied to eachother = 0, you know that if at least one of the numbers is 0 this will be true.
ab=0 either a is =0 or b=0 to make this true. So in your problem:(3x)(x + 4) = 0
Either 3x=0 or x+4=0 to make the statement true.
So set 3x=0 and x+4=0 and solve for x.

3x=0
divide both sides by 3
x=0

x+4=0
subtract 4 from both sides
x= -4

Answer 3

by zero property
3x=0 x+4=0
x=0/3
x=0 x=-4

Answer 4

Separate 3x and x+4. Then, equate them to zero.
3x=0
x=0

x+4=0
x= -4

Answer 5

When two things are multiplied together, each is equal to 0

3x =0 (divide by 3) x = 0

x+4 = 0 (subtract 4) x = -4

Plug each in separately and the equation will be zero.

Answer 6

break it into two equations and set them equal to 0

3x = 0 x + 4 = 0
x = 0/3 x = -4

Answer 7

(3x) (x + 4) = 0
You have two numbers multiplied together and the answer is zero. This means that one of the numbers MUST = zero.
3x = 0 or x + 4 = 0
x = 0 , x = - 4

Answer 8

3x=0
divide both sides by 3
1x=0/3
x=0

x+4=0
subtract 4 from both sides
x=-4

Answer 9

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