7(3-2m)x^2-2(1-3m)x+1=0

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Solution for 7(3-2m)x^2-2(1-3m)x+1=0 equation: 


Simplifying
7(3 + -2m) * x2 + -2(1 + -3m) * x + 1 = 0

Reorder the terms for easier multiplication:
7x2(3 + -2m) + -2(1 + -3m) * x + 1 = 0
(3 * 7x2 + -2m * 7x2) + -2(1 + -3m) * x + 1 = 0

Reorder the terms:
(-14mx2 + 21x2) + -2(1 + -3m) * x + 1 = 0
(-14mx2 + 21x2) + -2(1 + -3m) * x + 1 = 0

Reorder the terms for easier multiplication:
-14mx2 + 21x2 + -2x(1 + -3m) + 1 = 0
-14mx2 + 21x2 + (1 * -2x + -3m * -2x) + 1 = 0

Reorder the terms:
-14mx2 + 21x2 + (6mx + -2x) + 1 = 0
-14mx2 + 21x2 + (6mx + -2x) + 1 = 0

Reorder the terms:
1 + 6mx + -14mx2 + -2x + 21x2 = 0

Solving
1 + 6mx + -14mx2 + -2x + 21x2 = 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 + 6mx + -14mx2 + -2x + -1 + 21x2 = 0 + -1

Reorder the terms:
1 + -1 + 6mx + -14mx2 + -2x + 21x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6mx + -14mx2 + -2x + 21x2 = 0 + -1
6mx + -14mx2 + -2x + 21x2 = 0 + -1

Combine like terms: 0 + -1 = -1
6mx + -14mx2 + -2x + 21x2 = -1

Add '2x' to each side of the equation.
6mx + -14mx2 + -2x + 2x + 21x2 = -1 + 2x

Combine like terms: -2x + 2x = 0
6mx + -14mx2 + 0 + 21x2 = -1 + 2x
6mx + -14mx2 + 21x2 = -1 + 2x

Add '-21x2' to each side of the equation.
6mx + -14mx2 + 21x2 + -21x2 = -1 + 2x + -21x2

Combine like terms: 21x2 + -21x2 = 0
6mx + -14mx2 + 0 = -1 + 2x + -21x2
6mx + -14mx2 = -1 + 2x + -21x2

Reorder the terms:
1 + 6mx + -14mx2 + -2x + 21x2 = -1 + 2x + -21x2 + 1 + -2x + 21x2

Reorder the terms:
1 + 6mx + -14mx2 + -2x + 21x2 = -1 + 1 + 2x + -2x + -21x2 + 21x2

Combine like terms: -1 + 1 = 0
1 + 6mx + -14mx2 + -2x + 21x2 = 0 + 2x + -2x + -21x2 + 21x2
1 + 6mx + -14mx2 + -2x + 21x2 = 2x + -2x + -21x2 + 21x2

Combine like terms: 2x + -2x = 0
1 + 6mx + -14mx2 + -2x + 21x2 = 0 + -21x2 + 21x2
1 + 6mx + -14mx2 + -2x + 21x2 = -21x2 + 21x2

Combine like terms: -21x2 + 21x2 = 0
1 + 6mx + -14mx2 + -2x + 21x2 = 0

The solution to this equation could not be determined.

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