How many solutions does 6 —3x = 12 — 6x have?

1 solution

Step-by-step explanation:

Remark

1 solution

Rule: the number of solutions to an equation is at most the same number as the highest number on the variable. for example

x^3 + 4x^2 - 6x - 15 has at most 3 real solutions because the highest power is x^3

x^n + x^(n - 1) has at most n real solutions. It can have fewer.

Solution

So 6 - 3x= 12 - 6x                       Subtract 6 from both sides

6 - 6 - 3x = 12 - 6 - 6x                 Combine

-3x = 6 - 6x                                 Add 6x to both sides

-3x + 6x = 6                                Combine

3x = 6                                         Divide by 3

x = 6/3 = 2

Check

6 - 3(2) = 12 - 6(2)

0 = 0 which checks

555.99.

step-by-step explanation:

hope this

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).