2X^4+(3-2m)x^2+(m-2)=0

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Solution for 2X^4+(3-2m)x^2+(m-2)=0 equation: 


Simplifying
2X4 + (3 + -2m) * x2 + (m + -2) = 0

Reorder the terms for easier multiplication:
2X4 + x2(3 + -2m) + (m + -2) = 0
2X4 + (3 * x2 + -2m * x2) + (m + -2) = 0

Reorder the terms:
2X4 + (-2mx2 + 3x2) + (m + -2) = 0
2X4 + (-2mx2 + 3x2) + (m + -2) = 0

Reorder the terms:
2X4 + -2mx2 + 3x2 + (-2 + m) = 0

Remove parenthesis around (-2 + m)
2X4 + -2mx2 + 3x2 + -2 + m = 0

Reorder the terms:
-2 + 2X4 + m + -2mx2 + 3x2 = 0

Solving
-2 + 2X4 + m + -2mx2 + 3x2 = 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 + 2X4 + m + -2mx2 + 2 + 3x2 = 0 + 2

Reorder the terms:
-2 + 2 + 2X4 + m + -2mx2 + 3x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 2X4 + m + -2mx2 + 3x2 = 0 + 2
2X4 + m + -2mx2 + 3x2 = 0 + 2

Combine like terms: 0 + 2 = 2
2X4 + m + -2mx2 + 3x2 = 2

Add '-1m' to each side of the equation.
2X4 + m + -2mx2 + -1m + 3x2 = 2 + -1m

Reorder the terms:
2X4 + m + -1m + -2mx2 + 3x2 = 2 + -1m

Combine like terms: m + -1m = 0
2X4 + 0 + -2mx2 + 3x2 = 2 + -1m
2X4 + -2mx2 + 3x2 = 2 + -1m

Add '2mx2' to each side of the equation.
2X4 + -2mx2 + 2mx2 + 3x2 = 2 + -1m + 2mx2

Combine like terms: -2mx2 + 2mx2 = 0
2X4 + 0 + 3x2 = 2 + -1m + 2mx2
2X4 + 3x2 = 2 + -1m + 2mx2

Add '-3x2' to each side of the equation.
2X4 + 3x2 + -3x2 = 2 + -1m + 2mx2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
2X4 + 0 = 2 + -1m + 2mx2 + -3x2
2X4 = 2 + -1m + 2mx2 + -3x2

Divide each side by '2'.
X4 = 1 + -0.5m + mx2 + -1.5x2

Simplifying
X4 = 1 + -0.5m + mx2 + -1.5x2

Reorder the terms:
-1 + X4 + 0.5m + -1mx2 + 1.5x2 = 1 + -0.5m + mx2 + -1.5x2 + -1 + 0.5m + -1mx2 + 1.5x2

Reorder the terms:
-1 + X4 + 0.5m + -1mx2 + 1.5x2 = 1 + -1 + -0.5m + 0.5m + mx2 + -1mx2 + -1.5x2 + 1.5x2

Combine like terms: 1 + -1 = 0
-1 + X4 + 0.5m + -1mx2 + 1.5x2 = 0 + -0.5m + 0.5m + mx2 + -1mx2 + -1.5x2 + 1.5x2
-1 + X4 + 0.5m + -1mx2 + 1.5x2 = -0.5m + 0.5m + mx2 + -1mx2 + -1.5x2 + 1.5x2

Combine like terms: -0.5m + 0.5m = 0.0
-1 + X4 + 0.5m + -1mx2 + 1.5x2 = 0.0 + mx2 + -1mx2 + -1.5x2 + 1.5x2
-1 + X4 + 0.5m + -1mx2 + 1.5x2 = mx2 + -1mx2 + -1.5x2 + 1.5x2

Combine like terms: mx2 + -1mx2 = 0
-1 + X4 + 0.5m + -1mx2 + 1.5x2 = 0 + -1.5x2 + 1.5x2
-1 + X4 + 0.5m + -1mx2 + 1.5x2 = -1.5x2 + 1.5x2

Combine like terms: -1.5x2 + 1.5x2 = 0.0
-1 + X4 + 0.5m + -1mx2 + 1.5x2 = 0.0

The solution to this equation could not be determined.

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