2mx^2+(m+5)X+m-1=0

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Solution for 2mx^2+(m+5)X+m-1=0 equation: 


Simplifying
2mx2 + (m + 5) * X + m + -1 = 0

Reorder the terms:
2mx2 + (5 + m) * X + m + -1 = 0

Reorder the terms for easier multiplication:
2mx2 + X(5 + m) + m + -1 = 0
2mx2 + (5 * X + m * X) + m + -1 = 0
2mx2 + (5X + mX) + m + -1 = 0

Reorder the terms:
-1 + 5X + m + mX + 2mx2 = 0

Solving
-1 + 5X + m + mX + 2mx2 = 0

Solving for variable 'X'.

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

Add '1' to each side of the equation.
-1 + 5X + m + mX + 1 + 2mx2 = 0 + 1

Reorder the terms:
-1 + 1 + 5X + m + mX + 2mx2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5X + m + mX + 2mx2 = 0 + 1
5X + m + mX + 2mx2 = 0 + 1

Combine like terms: 0 + 1 = 1
5X + m + mX + 2mx2 = 1

Add '-1m' to each side of the equation.
5X + m + mX + -1m + 2mx2 = 1 + -1m

Reorder the terms:
5X + m + -1m + mX + 2mx2 = 1 + -1m

Combine like terms: m + -1m = 0
5X + 0 + mX + 2mx2 = 1 + -1m
5X + mX + 2mx2 = 1 + -1m

Add '-2mx2' to each side of the equation.
5X + mX + 2mx2 + -2mx2 = 1 + -1m + -2mx2

Combine like terms: 2mx2 + -2mx2 = 0
5X + mX + 0 = 1 + -1m + -2mx2
5X + mX = 1 + -1m + -2mx2

Reorder the terms:
-1 + 5X + m + mX + 2mx2 = 1 + -1m + -2mx2 + -1 + m + 2mx2

Reorder the terms:
-1 + 5X + m + mX + 2mx2 = 1 + -1 + -1m + m + -2mx2 + 2mx2

Combine like terms: 1 + -1 = 0
-1 + 5X + m + mX + 2mx2 = 0 + -1m + m + -2mx2 + 2mx2
-1 + 5X + m + mX + 2mx2 = -1m + m + -2mx2 + 2mx2

Combine like terms: -1m + m = 0
-1 + 5X + m + mX + 2mx2 = 0 + -2mx2 + 2mx2
-1 + 5X + m + mX + 2mx2 = -2mx2 + 2mx2

Combine like terms: -2mx2 + 2mx2 = 0
-1 + 5X + m + mX + 2mx2 = 0

The solution to this equation could not be determined.

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