F(x)=(M^2-m-2)X^2+2mx+1

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Solution for F(x)=(M^2-m-2)X^2+2mx+1 equation: 


Simplifying
F(x) = (M2 + -1m + -2) * X2 + 2mx + 1

Multiply F * x
xF = (M2 + -1m + -2) * X2 + 2mx + 1

Reorder the terms:
xF = (-2 + M2 + -1m) * X2 + 2mx + 1

Reorder the terms for easier multiplication:
xF = X2(-2 + M2 + -1m) + 2mx + 1
xF = (-2 * X2 + M2 * X2 + -1m * X2) + 2mx + 1

Reorder the terms:
xF = (M2X2 + -2X2 + -1mX2) + 2mx + 1
xF = (M2X2 + -2X2 + -1mX2) + 2mx + 1

Reorder the terms:
xF = 1 + M2X2 + -2X2 + -1mX2 + 2mx

Solving
xF = 1 + M2X2 + -2X2 + -1mX2 + 2mx

Solving for variable 'x'.

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

Add '-2mx' to each side of the equation.
-2mx + xF = 1 + M2X2 + -2X2 + -1mX2 + 2mx + -2mx

Combine like terms: 2mx + -2mx = 0
-2mx + xF = 1 + M2X2 + -2X2 + -1mX2 + 0
-2mx + xF = 1 + M2X2 + -2X2 + -1mX2

Reorder the terms:
-1 + -1M2X2 + 2X2 + mX2 + -2mx + xF = 1 + M2X2 + -2X2 + -1mX2 + -1 + -1M2X2 + 2X2 + mX2

Reorder the terms:
-1 + -1M2X2 + 2X2 + mX2 + -2mx + xF = 1 + -1 + M2X2 + -1M2X2 + -2X2 + 2X2 + -1mX2 + mX2

Combine like terms: 1 + -1 = 0
-1 + -1M2X2 + 2X2 + mX2 + -2mx + xF = 0 + M2X2 + -1M2X2 + -2X2 + 2X2 + -1mX2 + mX2
-1 + -1M2X2 + 2X2 + mX2 + -2mx + xF = M2X2 + -1M2X2 + -2X2 + 2X2 + -1mX2 + mX2

Combine like terms: M2X2 + -1M2X2 = 0
-1 + -1M2X2 + 2X2 + mX2 + -2mx + xF = 0 + -2X2 + 2X2 + -1mX2 + mX2
-1 + -1M2X2 + 2X2 + mX2 + -2mx + xF = -2X2 + 2X2 + -1mX2 + mX2

Combine like terms: -2X2 + 2X2 = 0
-1 + -1M2X2 + 2X2 + mX2 + -2mx + xF = 0 + -1mX2 + mX2
-1 + -1M2X2 + 2X2 + mX2 + -2mx + xF = -1mX2 + mX2

Combine like terms: -1mX2 + mX2 = 0
-1 + -1M2X2 + 2X2 + mX2 + -2mx + xF = 0

The solution to this equation could not be determined.

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