5-3x = 2x²
A quadratic equation is in the form: ax²+bx+c=0 so:
0=2x²+3x-5
This is already in standard form but I will further simplify it:
We use the quadratic equation:
x = -3 ± √(3²+40) = -3 ± 7 = 1 or -5/2
4 4
If you want the factors:
We have: (x-1)(x+5/2) so we need to multiply this by 2 since the value of a is 2:
2x²+3x-5=(x-1)(2x+5)