Question

Solve for x (x-1)(x-12)=0

Answer 1

x = 1, 12

Explanation:

Given the equation:

`\displaystyle{(x-1)(x-12)=0}`

This can be set as:

`\displaystyle{x-1 = 0 \ \, \text{or} \ \, x - 12 = 0}`

Solve equations like linear, add both sides by 1 for x - 1 and add both sides by 12 for x - 12:

`\displaystyle{x-1 +1= 0+1\ \, \text{or} \ \, x - 12+12 = 0+12}\\\\\displaystyle{x= 1\ \, \text{or} \ \, x = 12}`

Instead of using "or" for conjunction, we can simply write the solution as x = 1, 12 (or you can also write x = 12, 1)

Additional Info

If you see the equation in form of
`\displaystyle{(ax+b)(cx+d)=0}` then you can just simply solve like linear separately and combine solutions together as one.