Solve the following equations A .X²-8x-30=0 B.x²+x-1=0 C.4x²+6x+1=0 D.16x³+8x²+x=0 ?

A. X²-8x-30=0
Factorizing the equation, we get:
(X-10)(X+2) = 0
Therefore, X = 10 or X = -2

B. x²+x-1=0
Using the quadratic formula, we get:
x = (-1 ± √5) / 2

C. 4x²+6x+1=0
Using the quadratic formula, we get:
x = (-3 ± √5) / 4

D. 16x³+8x²+x=0
Factorizing the equation, we get:
x(4x+1)(4x+1) = 0
Therefore, x = 0 or x = -1/4

A. X²-8x-30=0

Factor the quadratic: (x-10)(x+3) = 0
So, x = 10 or x = -3

B. x² x-1=0

Factor the quadratic: x(x-1) = 0
So, x = 0 or x = 1

C. 4x² 6x 1=0

Factor the quadratic: (2x-1)(2x+1) = 0
So, x = 1/2 or x = -1/2

D. 16x³ 8x² x=0

Factor the cubic: x(16x²-8x+1) = 0
Factor the quadratic inside the parentheses: (4x-1)² = 0
So, x = 0 or x = 1/4