2X^2(lnx-1)+2=0

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Solution for 2X^2(lnx-1)+2=0 equation: 


Simplifying
2X2(lnx + -1) + 2 = 0

Reorder the terms:
2X2(-1 + lnx) + 2 = 0
(-1 * 2X2 + lnx * 2X2) + 2 = 0
(-2X2 + 2lnxX2) + 2 = 0

Reorder the terms:
2 + -2X2 + 2lnxX2 = 0

Solving
2 + -2X2 + 2lnxX2 = 0

Solving for variable 'X'.

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

Add '-2' to each side of the equation.
2 + -2X2 + -2 + 2lnxX2 = 0 + -2

Reorder the terms:
2 + -2 + -2X2 + 2lnxX2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2X2 + 2lnxX2 = 0 + -2
-2X2 + 2lnxX2 = 0 + -2

Combine like terms: 0 + -2 = -2
-2X2 + 2lnxX2 = -2

Reorder the terms:
2 + -2X2 + 2lnxX2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -2X2 + 2lnxX2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -1X2 + lnxX2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + -1X2 + lnxX2)' equal to zero and attempt to solve:

Simplifying
1 + -1X2 + lnxX2 = 0

Solving
1 + -1X2 + lnxX2 = 0

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

Add '-1' to each side of the equation.
1 + -1X2 + -1 + lnxX2 = 0 + -1

Reorder the terms:
1 + -1 + -1X2 + lnxX2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1X2 + lnxX2 = 0 + -1
-1X2 + lnxX2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1X2 + lnxX2 = -1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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