Solve the equation for all real solutions in simplest form. (use quadratic formula)

4k^2+17k+7=3k

a=4 b=14 c=7

4k² + 17k + 7 = 3k

- 3k - 3k

4k² + 14k + 7 = 0

x = - (14) + / - √ ((14) ² - 4 (4) (7))

2 (4)

x = - 14 + / - √ (196 + 112)

8

x = - 14 + / - √ (308)

8

x = - 14 + / - 2√ (77)

8

x = - 7 + / - √ (77)

4

x = - 1.75 + / - 0.25√ (77)

x = - 1.75 + 0.25√ (77) ∨ x = - 1.75 - 0.25√ (77)