2x^2+M^2=3mx+x+1

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Solution for 2x^2+M^2=3mx+x+1 equation:


Simplifying
2x2 + M2 = 3mx + x + 1

Reorder the terms:
M2 + 2x2 = 3mx + x + 1

Reorder the terms:
M2 + 2x2 = 1 + 3mx + x

Solving
M2 + 2x2 = 1 + 3mx + x

Solving for variable 'M'.

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

Add '-2x2' to each side of the equation.
M2 + 2x2 + -2x2 = 1 + 3mx + x + -2x2

Combine like terms: 2x2 + -2x2 = 0
M2 + 0 = 1 + 3mx + x + -2x2
M2 = 1 + 3mx + x + -2x2

Simplifying
M2 = 1 + 3mx + x + -2x2

Reorder the terms:
-1 + M2 + -3mx + -1x + 2x2 = 1 + 3mx + x + -2x2 + -1 + -3mx + -1x + 2x2

Reorder the terms:
-1 + M2 + -3mx + -1x + 2x2 = 1 + -1 + 3mx + -3mx + x + -1x + -2x2 + 2x2

Combine like terms: 1 + -1 = 0
-1 + M2 + -3mx + -1x + 2x2 = 0 + 3mx + -3mx + x + -1x + -2x2 + 2x2
-1 + M2 + -3mx + -1x + 2x2 = 3mx + -3mx + x + -1x + -2x2 + 2x2

Combine like terms: 3mx + -3mx = 0
-1 + M2 + -3mx + -1x + 2x2 = 0 + x + -1x + -2x2 + 2x2
-1 + M2 + -3mx + -1x + 2x2 = x + -1x + -2x2 + 2x2

Combine like terms: x + -1x = 0
-1 + M2 + -3mx + -1x + 2x2 = 0 + -2x2 + 2x2
-1 + M2 + -3mx + -1x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-1 + M2 + -3mx + -1x + 2x2 = 0

The solution to this equation could not be determined.

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