Question

I know the answer to this problem, but how do you solve it :

(x+2)(5x+1)=5x(x+1)
the answer is -1/3

Answer 1

Answer: you already stated that you know it is x = -1/3

Step-by-step explanation: first, open the parenthesis by multiplying (x+2) and (5x+1), which equals 5x^2 + 11x + 2, the current expression is 5x^2 + 11x + 2 = 5x(x+1).

now, do the same thing to the other side, distribute the 5x to (x+1), which equals 5x^2 + 5x.

Now the expression is 5x^2 + 11x + 2 = 5x^2 + 5x. subtract 5x^2 from both sides, and subtract 5x from both sides, which leaves you with 6x + 2 = 0,

subtract 2 from both sides, now, 6x = -2, lastly, divide both sides by 6 to isolate x, and you get x = -2/6, or, if you write it in it's smallest form, -1/3. hope I helped

Answer 2

see explanation

Explanation:

(x + 2)(5x + 1) = 5x(x + 1) ← expand factors on left side using FOIL

5x² + 11x + 2 = 5x² + 5x ( subtract 5x² from both sides )

11x + 2 = 5x ( subtract 5x from both sides )

6x + 2 = 0 ( subtract 2 from both sides )

6x = - 2 ( divide both sides by 6 )

x =
`(-2)/(6)` = -
`(1)/(3)`