Question

Need help with 0 = 2x^2 − 3x + 0.5
This is what I already have:
Multiply the entire equation by 2 to get rid of the decimals.
0 = 2x^2 - 3x + 0.5
*2 *2 *2

4x^2 - 6x + 1 = 0


There is no GCF besides 1, so the equation will stay the same.

Factor by grouping:
Multiply the first coefficient 4, by the last coefficient 1
4 * 1 = 4

Find the product of 4 and the sum of the middle term -6

But I can't find a product of 4 and a sum of -6.
Have I done something wrong?

Answer 1

Your suppose to add the first and last number not multiply. 4+1=5
Find the numbers that equal -6 and that add up to 5.
-6 and 1.
When multiplied they equal -6 and when added they equal 5.

Answer 2

But -6 + 1 is equal to -5 not positive 5.

Answer 3

Unless it's -1 and -5
-1 * -5 = 5 and -1 + -5 = -6
Hmmm.