-2X^2[2-X(3-2X)]=

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Solution for -2X^2[2-X(3-2X)]= equation: 


Simplifying
-2X2[2 + -1X(3 + -2X)] = 0
-2X2[2 + (3 * -1X + -2X * -1X)] = 0
-2X2[2 + (-3X + 2X2)] = 0
[2 * -2X2 + -3X * -2X2 + 2X2 * -2X2] = 0
[-4X2 + 6X3 + -4X4] = 0

Solving
-4X2 + 6X3 + -4X4 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '2X2'.
2X2(-2 + 3X + -2X2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'X2' equal to zero and attempt to solve:

Simplifying
X2 = 0

Solving
X2 = 0

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

Simplifying
X2 = 0

Take the square root of each side:
X = {0}

Subproblem 2
Set the factor '(-2 + 3X + -2X2)' equal to zero and attempt to solve:

Simplifying
-2 + 3X + -2X2 = 0

Solving
-2 + 3X + -2X2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
1 + -1.5X + X2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.5X + -1 + X2 = 0 + -1

Reorder the terms:
1 + -1 + -1.5X + X2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.5X + X2 = 0 + -1
-1.5X + X2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.5X + X2 = -1

The X term is -1.5X.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5X + 0.5625 + X2 = -1 + 0.5625

Reorder the terms:
0.5625 + -1.5X + X2 = -1 + 0.5625

Combine like terms: -1 + 0.5625 = -0.4375
0.5625 + -1.5X + X2 = -0.4375

Factor a perfect square on the left side:
(X + -0.75)(X + -0.75) = -0.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
X = {0}

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