Answer:
x = (1 ±√41)/6
Step-by-step explanation:
10 -6x -9x² = -9x
9x² -3x -10 = 0 . . . . . subtract the left side
9(x² -1/3) -10 = 0 . . . factor first two terms
9(x² -1/3 +1/36) -10 -9/36 = 0 . . . . complete the square
9(x -1/6)² = 41/4 . . . . . add 41/4
x -1/6 = ±√(41/36) . . . . divide by 9, take the square root
x = 1/6(1 ± √41) . . . . . . .add 1/6
