How do you factor 2x^2+5x=8?

1 Answer
Jun 7, 2018

x=(-5+-sqrt(89))/(4)

Explanation:

2x^2+5x=8

2x^2+5x-8=0

At this point you cannot factor directly or by grouping so you must either complete the square or use the quadratic formula.

ax^2+bx+c

x=(-b+-sqrt(b^2-4ac))/(2a)

x=(-5+-sqrt(5^2-4*2*-8))/(2*2)

x=(-5+-sqrt(89))/(4)