Question 48123
49x^2+9=42x
49x^2 + 9 - 42x = 0 [Get all of the terms to one side of the equation]
49x^2 -42x + 9 = 0 [Re-arrange the terms]
(7x - 3)(7x - 3) [Factor]
7x-3 = 0 [Set each factor equal to zero]
7x-3+3 = +3 [Solve for x]
7x = 3 [Simplify]
x = 3/7 
.
Check by plugging (x = 3/7) back into the original equation:
49(3/7)^2+9 = 42(3/7)
18 = 18