Category 1: SOLVE
3x = 4x + 9
-9
9x2 = 18x
x = 0, x = 2
9x2 = 18
x = 12, x = -12
2(x-5) = -12
-1
x2 + 50 = 27x
x = 25, x = 2
7(x + 5)2 = 21
x = 5 plus root three, or 5 minus root three
7x - 3(x - 2) = x - 3(x - 5)
3/2
2x(x - 5) = -12
x = 3, x = 2
3x2 + 5 = 65
x = +/- 2 root 5
4x - 3(2 - x) = 1/2 (14x-12)
All real numbers
x2 + 7x - 4 = -x2
x = 1/2, x = -4
x3 + 2 = -25
x = -3
5(x - 7) = 2(4 - x) + x
43/6
6x3 + 48x = 36x2
x = 0, x = 4, x = 2
3(x + 5)2 +1 = 37
-5 plus 2 root three
-5 minus 2 root three