X2 plus 14x equals -5

Answer 1

x^(2) + 14x = -5

x^(2) + 14x + 5 = 0

This is now in quadratic form .

It does NOT factor so use the Quadratic Eq;n.

x = { -14 +/-sqrt[(14)^2 - 4(1)(5)]} / 2(1)

x = { -14 +/- sqrt[196 - 20]} / 2 049

x = { -14 +/- sqrt[176] } / 2

x = { -14 +/- 13.266499...} / 2

x = -27.266499... / 2 = 13.633249

&

x = -0.733500838.../2 = -0.366750419...

Answer 2

16x = -5

x = -.3125