(m-3)x^2-2*(3m-4)x+7m-6=0

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Solution for (m-3)x^2-2*(3m-4)x+7m-6=0 equation: 


Simplifying
(m + -3) * x2 + -2(3m + -4) * x + 7m + -6 = 0

Reorder the terms:
(-3 + m) * x2 + -2(3m + -4) * x + 7m + -6 = 0

Reorder the terms for easier multiplication:
x2(-3 + m) + -2(3m + -4) * x + 7m + -6 = 0
(-3 * x2 + m * x2) + -2(3m + -4) * x + 7m + -6 = 0

Reorder the terms:
(mx2 + -3x2) + -2(3m + -4) * x + 7m + -6 = 0
(mx2 + -3x2) + -2(3m + -4) * x + 7m + -6 = 0

Reorder the terms:
mx2 + -3x2 + -2(-4 + 3m) * x + 7m + -6 = 0

Reorder the terms for easier multiplication:
mx2 + -3x2 + -2x(-4 + 3m) + 7m + -6 = 0
mx2 + -3x2 + (-4 * -2x + 3m * -2x) + 7m + -6 = 0

Reorder the terms:
mx2 + -3x2 + (-6mx + 8x) + 7m + -6 = 0
mx2 + -3x2 + (-6mx + 8x) + 7m + -6 = 0

Reorder the terms:
-6 + 7m + -6mx + mx2 + 8x + -3x2 = 0

Solving
-6 + 7m + -6mx + mx2 + 8x + -3x2 = 0

Solving for variable 'm'.

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

Add '6' to each side of the equation.
-6 + 7m + -6mx + mx2 + 8x + 6 + -3x2 = 0 + 6

Reorder the terms:
-6 + 6 + 7m + -6mx + mx2 + 8x + -3x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 7m + -6mx + mx2 + 8x + -3x2 = 0 + 6
7m + -6mx + mx2 + 8x + -3x2 = 0 + 6

Combine like terms: 0 + 6 = 6
7m + -6mx + mx2 + 8x + -3x2 = 6

Add '-8x' to each side of the equation.
7m + -6mx + mx2 + 8x + -8x + -3x2 = 6 + -8x

Combine like terms: 8x + -8x = 0
7m + -6mx + mx2 + 0 + -3x2 = 6 + -8x
7m + -6mx + mx2 + -3x2 = 6 + -8x

Add '3x2' to each side of the equation.
7m + -6mx + mx2 + -3x2 + 3x2 = 6 + -8x + 3x2

Combine like terms: -3x2 + 3x2 = 0
7m + -6mx + mx2 + 0 = 6 + -8x + 3x2
7m + -6mx + mx2 = 6 + -8x + 3x2

Reorder the terms:
-6 + 7m + -6mx + mx2 + 8x + -3x2 = 6 + -8x + 3x2 + -6 + 8x + -3x2

Reorder the terms:
-6 + 7m + -6mx + mx2 + 8x + -3x2 = 6 + -6 + -8x + 8x + 3x2 + -3x2

Combine like terms: 6 + -6 = 0
-6 + 7m + -6mx + mx2 + 8x + -3x2 = 0 + -8x + 8x + 3x2 + -3x2
-6 + 7m + -6mx + mx2 + 8x + -3x2 = -8x + 8x + 3x2 + -3x2

Combine like terms: -8x + 8x = 0
-6 + 7m + -6mx + mx2 + 8x + -3x2 = 0 + 3x2 + -3x2
-6 + 7m + -6mx + mx2 + 8x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-6 + 7m + -6mx + mx2 + 8x + -3x2 = 0

The solution to this equation could not be determined.

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