(m-3)*x^2-6x+m+5=0

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Solution for (m-3)*x^2-6x+m+5=0 equation: 


Simplifying
(m + -3) * x2 + -6x + m + 5 = 0

Reorder the terms:
(-3 + m) * x2 + -6x + m + 5 = 0

Reorder the terms for easier multiplication:
x2(-3 + m) + -6x + m + 5 = 0
(-3 * x2 + m * x2) + -6x + m + 5 = 0

Reorder the terms:
(mx2 + -3x2) + -6x + m + 5 = 0
(mx2 + -3x2) + -6x + m + 5 = 0

Reorder the terms:
5 + m + mx2 + -6x + -3x2 = 0

Solving
5 + m + mx2 + -6x + -3x2 = 0

Solving for variable 'm'.

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

Add '-5' to each side of the equation.
5 + m + mx2 + -6x + -5 + -3x2 = 0 + -5

Reorder the terms:
5 + -5 + m + mx2 + -6x + -3x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + m + mx2 + -6x + -3x2 = 0 + -5
m + mx2 + -6x + -3x2 = 0 + -5

Combine like terms: 0 + -5 = -5
m + mx2 + -6x + -3x2 = -5

Add '6x' to each side of the equation.
m + mx2 + -6x + 6x + -3x2 = -5 + 6x

Combine like terms: -6x + 6x = 0
m + mx2 + 0 + -3x2 = -5 + 6x
m + mx2 + -3x2 = -5 + 6x

Add '3x2' to each side of the equation.
m + mx2 + -3x2 + 3x2 = -5 + 6x + 3x2

Combine like terms: -3x2 + 3x2 = 0
m + mx2 + 0 = -5 + 6x + 3x2
m + mx2 = -5 + 6x + 3x2

Reorder the terms:
5 + m + mx2 + -6x + -3x2 = -5 + 6x + 3x2 + 5 + -6x + -3x2

Reorder the terms:
5 + m + mx2 + -6x + -3x2 = -5 + 5 + 6x + -6x + 3x2 + -3x2

Combine like terms: -5 + 5 = 0
5 + m + mx2 + -6x + -3x2 = 0 + 6x + -6x + 3x2 + -3x2
5 + m + mx2 + -6x + -3x2 = 6x + -6x + 3x2 + -3x2

Combine like terms: 6x + -6x = 0
5 + m + mx2 + -6x + -3x2 = 0 + 3x2 + -3x2
5 + m + mx2 + -6x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
5 + m + mx2 + -6x + -3x2 = 0

The solution to this equation could not be determined.

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