Question

2x²-2x=12
quadratic equation​

Answer 1

x=3,-2 you solve by using the quadratic formula

Answer 2

You can solve with many ways but I'll do this one instead. Move 12 to the left side and change from positive to negative.

`2x^2-2x-12=0\\`

Then divide by 2 whole equation.

`(2x^2-2x-12)/(2)=(0)/(2)`

Simplify, as we get
`x^2-x-6=0`

We can either use Quadratic Formula or Factoring the Polynomials. It depends but since the polynomial aren't that hard to factor because it doesn't have that many numbers in value. So using factoring will be faster.

From
`x^2-x-6=0` we can factor as -

`(x-3)(x+2)=0\\x-3 =0, x+2=0\\x=3, x=-2\\(x=3,-2)#`

Thus, the value of x is 3 or -2. So x = 3, -2 is the answer.

Note that we can also use Quadratic Formula to solve the equation, however that will take longer than factoring then solve the equation.