mx^2-2(m-1)x+m+2=0

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


Simplifying
mx2 + -2(m + -1) * x + m + 2 = 0

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

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

Reorder the terms:
mx2 + (-2mx + 2x) + m + 2 = 0
mx2 + (-2mx + 2x) + m + 2 = 0

Reorder the terms:
2 + m + -2mx + mx2 + 2x = 0

Solving
2 + m + -2mx + mx2 + 2x = 0

Solving for variable 'm'.

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

Add '-2' to each side of the equation.
2 + m + -2mx + mx2 + -2 + 2x = 0 + -2

Reorder the terms:
2 + -2 + m + -2mx + mx2 + 2x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + m + -2mx + mx2 + 2x = 0 + -2
m + -2mx + mx2 + 2x = 0 + -2

Combine like terms: 0 + -2 = -2
m + -2mx + mx2 + 2x = -2

Add '-2x' to each side of the equation.
m + -2mx + mx2 + 2x + -2x = -2 + -2x

Combine like terms: 2x + -2x = 0
m + -2mx + mx2 + 0 = -2 + -2x
m + -2mx + mx2 = -2 + -2x

Reorder the terms:
2 + m + -2mx + mx2 + 2x = -2 + -2x + 2 + 2x

Reorder the terms:
2 + m + -2mx + mx2 + 2x = -2 + 2 + -2x + 2x

Combine like terms: -2 + 2 = 0
2 + m + -2mx + mx2 + 2x = 0 + -2x + 2x
2 + m + -2mx + mx2 + 2x = -2x + 2x

Combine like terms: -2x + 2x = 0
2 + m + -2mx + mx2 + 2x = 0

The solution to this equation could not be determined.

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