Question

solve for x. 5x^2=-13x-6

Answer 1

x = - 3/5 and x = -2

Answer 2

5x² = -13x - 6
Getting all the terms to one side.
0 = 5x² + 13x + 6
Using the tic tac toe method to factor. See < http://www.slideshare.net/qvamath/tic-tac-toe-factoring >.

5x²| 6|30x²
5x| 2|10x
x| 3|3x

0 = (5x + 3)(x + 2)
Zero product property tells us that if two or more things multiply to 0, then one of them must equal zero.

5x + 3 = 0
5x = -3
x = (-3/5)

x + 2 = 0
x = -2

x = -2, (-3/5)