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
x2 + 11x + 30 = 0 (x + 5)(x + 6) = 0 so the roots are -5 and -6
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.
11x(2x - 1) = 0 so either 11x = 0 or x = ½
4x2 - 2x = 0
4x^2 - 11x + 6 = 0 (4x - 3)(x - 2) x = 3/4, 2
x2 = -11x - 10 x2 + 11x + 10 = 0 (x + 1)(x + 10) = 0
no false
x2 = 11x - 10 ∴ x2 - 11x + 10 = 0 ∴ (x - 10)(x - 1) = 0 ∴ x ∈ {1, 10}
21
To solve for x: x2 = 11x - 10 x2 - 11x = -10 x2 - 11x + 10 =0 (x - 1)(x - 10) = 0 x = {1, 10)
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.
-7