SOLUTION: Please show me each step to solve this by using the quadratic formula. Thanks! 2x^2 -3=-5x

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Please show me each step to solve this by using the quadratic formula. Thanks! 2x^2 -3=-5x      Log On


   

Question 930056: Please show me each step to solve this by using the quadratic formula. Thanks!
2x^2 -3=-5x
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
2x^2 -3=-5x Set to Zero
2x^2 + 5x - 3 = 0 Factor
F First terms 2x^2
O Outside terms + I Inside terms = 5x
L Last terms -3
(2x -1)(x +3)= 0
(2x -1) = 0 Set each factor to Zero and solve
x = 1/2
0r
(x +3)= 0
x = -3
..........
using the quadratic formula
2x^2 -3=-5x Set to Zero.. Format: ax^2 + bx + c = 0
2x^2 + 5x - 3 = 0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-5+%2B-+sqrt%28+25%2B24+%29%29%2F%284%29+
x+=+%28-5+%2B-+sqrt%28+49+%29%29%2F%284%29+
x+=+%28-5+%2B-+7%29%2F%284%29+
x = 12/4 = -3 0r a = 2/4 = 1/2