2(4X+2)(X-1)=

Solution for 2(4X+2)(X-1)= equation:

Simplifying
2(4X + 2)(X + -1) = 0

Reorder the terms:
2(2 + 4X)(X + -1) = 0

Reorder the terms:
2(2 + 4X)(-1 + X) = 0

Multiply (2 + 4X) * (-1 + X)
2(2(-1 + X) + 4X * (-1 + X)) = 0
2((-1 * 2 + X * 2) + 4X * (-1 + X)) = 0
2((-2 + 2X) + 4X * (-1 + X)) = 0
2(-2 + 2X + (-1 * 4X + X * 4X)) = 0
2(-2 + 2X + (-4X + 4X2)) = 0

Combine like terms: 2X + -4X = -2X
2(-2 + -2X + 4X2) = 0
(-2 * 2 + -2X * 2 + 4X2 * 2) = 0
(-4 + -4X + 8X2) = 0

Solving
-4 + -4X + 8X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + -1X + 2X2) = 0

Factor a trinomial.
4((-1 + -2X)(1 + -1X)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-1 + -2X)' equal to zero and attempt to solve:

Simplifying
-1 + -2X = 0

Solving
-1 + -2X = 0

Move all terms containing X to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -2X = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2X = 0 + 1
-2X = 0 + 1

Combine like terms: 0 + 1 = 1
-2X = 1

Divide each side by '-2'.
X = -0.5

Simplifying
X = -0.5
Subproblem 2
Set the factor '(1 + -1X)' equal to zero and attempt to solve:

Simplifying
1 + -1X = 0

Solving
1 + -1X = 0

Move all terms containing X to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1X = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1X = 0 + -1
-1X = 0 + -1

Combine like terms: 0 + -1 = -1
-1X = -1

Divide each side by '-1'.
X = 1

Simplifying
X = 1
Solution
X = {-0.5, 1}