x(4-3m)+1=x(3-4m)-m^2

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Solution for x(4-3m)+1=x(3-4m)-m^2 equation:


Simplifying
x(4 + -3m) + 1 = x(3 + -4m) + -1m2
(4 * x + -3m * x) + 1 = x(3 + -4m) + -1m2

Reorder the terms:
(-3mx + 4x) + 1 = x(3 + -4m) + -1m2
(-3mx + 4x) + 1 = x(3 + -4m) + -1m2

Reorder the terms:
1 + -3mx + 4x = x(3 + -4m) + -1m2
1 + -3mx + 4x = (3 * x + -4m * x) + -1m2

Reorder the terms:
1 + -3mx + 4x = (-4mx + 3x) + -1m2
1 + -3mx + 4x = (-4mx + 3x) + -1m2

Reorder the terms:
1 + -3mx + 4x = -4mx + -1m2 + 3x

Solving
1 + -3mx + 4x = -4mx + -1m2 + 3x

Solving for variable 'm'.

Reorder the terms:
1 + -3mx + 4mx + m2 + 4x + -3x = -4mx + -1m2 + 3x + 4mx + m2 + -3x

Combine like terms: -3mx + 4mx = 1mx
1 + 1mx + m2 + 4x + -3x = -4mx + -1m2 + 3x + 4mx + m2 + -3x

Combine like terms: 4x + -3x = 1x
1 + 1mx + m2 + 1x = -4mx + -1m2 + 3x + 4mx + m2 + -3x

Reorder the terms:
1 + 1mx + m2 + 1x = -4mx + 4mx + -1m2 + m2 + 3x + -3x

Combine like terms: -4mx + 4mx = 0
1 + 1mx + m2 + 1x = 0 + -1m2 + m2 + 3x + -3x
1 + 1mx + m2 + 1x = -1m2 + m2 + 3x + -3x

Combine like terms: -1m2 + m2 = 0
1 + 1mx + m2 + 1x = 0 + 3x + -3x
1 + 1mx + m2 + 1x = 3x + -3x

Combine like terms: 3x + -3x = 0
1 + 1mx + m2 + 1x = 0

The solution to this equation could not be determined.

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