Find all solutions to the equation. 7 sin²x - 14 sin x + 2 = -5

Answer:     ======let  .then, acknowledging that sin²x = (sin x)², we can do substitutions to solve this like a quadratic.    factor out 7    divide both sides by 7, then    two numbers that multiply to get +1 and add to get -2: -1 and -1    substitute u back in for sin x    by the unit circle or other means, we know that the base sine function gets a value of 1 whenever  . the period of the sine function is  ; if we add or subtract the period from that answer, we will get another equivalent answer (it is periodic).so the final answer is   

8.4 10.4 8.9 10.9 have a good day