Question

Solve the equation.

4(2 x + 9) = 4(2 x +6)

A. No solution

B. x = -5

C. x = -3

D. Infinitely many solutions

Answer 1

A. No solution

Explanation:

The given equation is 4(2 x + 9) = 4(2 x +6)

We divide through by 4 to get:

2 x + 9 = 2 x +6

We now group similar terms to obtain:

`2x - 2x = 6 - 9`

`0 = - 3`

This final statement is false.

Therefore the given equation has no solution.