mx^2+(m-2)x+m-5=0

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Solution for mx^2+(m-2)x+m-5=0 equation:


Simplifying
mx2 + (m + -2) * x + m + -5 = 0

Reorder the terms:
mx2 + (-2 + m) * x + m + -5 = 0

Reorder the terms for easier multiplication:
mx2 + x(-2 + m) + m + -5 = 0
mx2 + (-2 * x + m * x) + m + -5 = 0

Reorder the terms:
mx2 + (mx + -2x) + m + -5 = 0
mx2 + (mx + -2x) + m + -5 = 0

Reorder the terms:
-5 + m + mx + mx2 + -2x = 0

Solving
-5 + m + mx + mx2 + -2x = 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 + mx + mx2 + 5 + -2x = 0 + 5

Reorder the terms:
-5 + 5 + m + mx + mx2 + -2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + m + mx + mx2 + -2x = 0 + 5
m + mx + mx2 + -2x = 0 + 5

Combine like terms: 0 + 5 = 5
m + mx + mx2 + -2x = 5

Add '2x' to each side of the equation.
m + mx + mx2 + -2x + 2x = 5 + 2x

Combine like terms: -2x + 2x = 0
m + mx + mx2 + 0 = 5 + 2x
m + mx + mx2 = 5 + 2x

Reorder the terms:
-5 + m + mx + mx2 + -2x = 5 + 2x + -5 + -2x

Reorder the terms:
-5 + m + mx + mx2 + -2x = 5 + -5 + 2x + -2x

Combine like terms: 5 + -5 = 0
-5 + m + mx + mx2 + -2x = 0 + 2x + -2x
-5 + m + mx + mx2 + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + m + mx + mx2 + -2x = 0

The solution to this equation could not be determined.

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