xm^2+n=x^2+4x-6

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Solution for xm^2+n=x^2+4x-6 equation:


Simplifying
xm2 + n = x2 + 4x + -6

Reorder the terms:
m2x + n = -6 + 4x + x2

Solving
m2x + n = -6 + 4x + x2

Solving for variable 'm'.

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

Add '-1n' to each side of the equation.
m2x + n + -1n = -6 + 4x + -1n + x2

Combine like terms: n + -1n = 0
m2x + 0 = -6 + 4x + -1n + x2
m2x = -6 + 4x + -1n + x2

Reorder the terms:
m2x = -6 + -1n + 4x + x2

Divide each side by 'x'.
m2 = -6x-1 + -1nx-1 + 4 + x

Simplifying
m2 = -6x-1 + -1nx-1 + 4 + x

Reorder the terms:
m2 = 4 + -1nx-1 + -6x-1 + x

Reorder the terms:
-4 + m2 + nx-1 + 6x-1 + -1x = 4 + -1nx-1 + -6x-1 + x + -4 + nx-1 + 6x-1 + -1x

Reorder the terms:
-4 + m2 + nx-1 + 6x-1 + -1x = 4 + -4 + -1nx-1 + nx-1 + -6x-1 + 6x-1 + x + -1x

Combine like terms: 4 + -4 = 0
-4 + m2 + nx-1 + 6x-1 + -1x = 0 + -1nx-1 + nx-1 + -6x-1 + 6x-1 + x + -1x
-4 + m2 + nx-1 + 6x-1 + -1x = -1nx-1 + nx-1 + -6x-1 + 6x-1 + x + -1x

Combine like terms: -1nx-1 + nx-1 = 0
-4 + m2 + nx-1 + 6x-1 + -1x = 0 + -6x-1 + 6x-1 + x + -1x
-4 + m2 + nx-1 + 6x-1 + -1x = -6x-1 + 6x-1 + x + -1x

Combine like terms: -6x-1 + 6x-1 = 0
-4 + m2 + nx-1 + 6x-1 + -1x = 0 + x + -1x
-4 + m2 + nx-1 + 6x-1 + -1x = x + -1x

Combine like terms: x + -1x = 0
-4 + m2 + nx-1 + 6x-1 + -1x = 0

The solution to this equation could not be determined.

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