Solve the equation for all real solutions.

15r2 - 6r - 3 = - 2r

Step-by-step explanation:

hello:

15r² - 6r - 3 = - 2r

15r² - 6r - 3 + 2r = 0

15r²-4r - 3 = 0

delta = b² - 4ac a=15 b=-4 c=-3

delta = (-4) ² - 4 (15) (-3) = 196 = 14²

r1 = (-b - √delta) / 2a = (4-14) / 30 = - 10/30 = - 2/6 = - 1/3

r2 = (-b + √delta) / 2a = (4+14) / 30 = 18/30 = 3/5