4x2 - 2x = 0
4x2+50x = 0 4x(x+12.5) = 0 x = 0 or x = -12.5
4x2-2x = 0 2x(2x-1) = 0 x = 0 or x =1/2
The first equality is: x2 - 5 = -4x2 which gives 5x2 - 5 = 0 which is equivalent to x2 - 5 = 0 The second equality is: -4x2 = 3x which gives 4x2 + 3x = 0 The two results are inconsistent.
4x2 - 13 x + 3 = 0 (4x - 1)(x - 3) = 0 x = 3, 1/4
4x2 - 2x = 0
4x2+50x = 0 4x(x+12.5) = 0 x = 0 or x = -12.5
4x2-2x = 0 2x(2x-1) = 0 x = 0 or x =1/2
There are four solutions to 9x4 plus 27x3 - 4x2 - 12x equals 0. One of the solutions is x = -3.
Assuming that 4x2+2x = 0: 2x (2x+1) = 0 2x = 0 or 2x+1 = 0 x = 0 or -1/2
4x2 = -12x, divide both sides by 4x: x = -3
4x2 - 2x - 3 = 0 (2x + 1)(2x - 3) = 0 x = -(1/2) or (3/2)
x2-5-4x2+3x = 0 -3x2+3x-5 = 0 or as 3x2-3x+5 = 0
The first equality is: x2 - 5 = -4x2 which gives 5x2 - 5 = 0 which is equivalent to x2 - 5 = 0 The second equality is: -4x2 = 3x which gives 4x2 + 3x = 0 The two results are inconsistent.
4x2-4x-3 = 0 (2x-3)(2x+1) = 0 x = 3/2 or x = -1/2
4x2 - 13 x + 3 = 0 (4x - 1)(x - 3) = 0 x = 3, 1/4
(2x - 3)*(4x2 + 6x + 9) = 0