(1+m^2)x^2+(-4m^2)x+4m^2-1=0

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Solution for (1+m^2)x^2+(-4m^2)x+4m^2-1=0 equation: 


Simplifying
(1 + m2) * x2 + (-4m2) * x + 4m2 + -1 = 0

Reorder the terms for easier multiplication:
x2(1 + m2) + (-4m2) * x + 4m2 + -1 = 0
(1 * x2 + m2 * x2) + (-4m2) * x + 4m2 + -1 = 0

Reorder the terms:
(m2x2 + 1x2) + (-4m2) * x + 4m2 + -1 = 0
(m2x2 + 1x2) + (-4m2) * x + 4m2 + -1 = 0

Remove parenthesis around (-4m2)
m2x2 + 1x2 + -4m2 * x + 4m2 + -1 = 0

Multiply m2 * x
m2x2 + 1x2 + -4m2x + 4m2 + -1 = 0

Reorder the terms:
-1 + 4m2 + -4m2x + m2x2 + 1x2 = 0

Solving
-1 + 4m2 + -4m2x + m2x2 + 1x2 = 0

Solving for variable 'm'.

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

Add '1' to each side of the equation.
-1 + 4m2 + -4m2x + m2x2 + 1 + 1x2 = 0 + 1

Reorder the terms:
-1 + 1 + 4m2 + -4m2x + m2x2 + 1x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4m2 + -4m2x + m2x2 + 1x2 = 0 + 1
4m2 + -4m2x + m2x2 + 1x2 = 0 + 1

Combine like terms: 0 + 1 = 1
4m2 + -4m2x + m2x2 + 1x2 = 1

Add '-1x2' to each side of the equation.
4m2 + -4m2x + m2x2 + 1x2 + -1x2 = 1 + -1x2

Combine like terms: 1x2 + -1x2 = 0
4m2 + -4m2x + m2x2 + 0 = 1 + -1x2
4m2 + -4m2x + m2x2 = 1 + -1x2

Reorder the terms:
-1 + 4m2 + -4m2x + m2x2 + x2 = 1 + -1x2 + -1 + x2

Reorder the terms:
-1 + 4m2 + -4m2x + m2x2 + x2 = 1 + -1 + -1x2 + x2

Combine like terms: 1 + -1 = 0
-1 + 4m2 + -4m2x + m2x2 + x2 = 0 + -1x2 + x2
-1 + 4m2 + -4m2x + m2x2 + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-1 + 4m2 + -4m2x + m2x2 + x2 = 0

The solution to this equation could not be determined.

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