x*x+2(m-1)x+m+5=0

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Solution for x*x+2(m-1)x+m+5=0 equation: 


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

Multiply x * x
x2 + 2(m + -1) * x + m + 5 = 0

Reorder the terms:
x2 + 2(-1 + m) * x + m + 5 = 0

Reorder the terms for easier multiplication:
x2 + 2x(-1 + m) + m + 5 = 0
x2 + (-1 * 2x + m * 2x) + m + 5 = 0

Reorder the terms:
x2 + (2mx + -2x) + m + 5 = 0
x2 + (2mx + -2x) + m + 5 = 0

Reorder the terms:
5 + m + 2mx + -2x + x2 = 0

Solving
5 + m + 2mx + -2x + x2 = 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 + 2mx + -2x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + m + 2mx + -2x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + m + 2mx + -2x + x2 = 0 + -5
m + 2mx + -2x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
m + 2mx + -2x + x2 = -5

Add '2x' to each side of the equation.
m + 2mx + -2x + 2x + x2 = -5 + 2x

Combine like terms: -2x + 2x = 0
m + 2mx + 0 + x2 = -5 + 2x
m + 2mx + x2 = -5 + 2x

Add '-1x2' to each side of the equation.
m + 2mx + x2 + -1x2 = -5 + 2x + -1x2

Combine like terms: x2 + -1x2 = 0
m + 2mx + 0 = -5 + 2x + -1x2
m + 2mx = -5 + 2x + -1x2

Reorder the terms:
5 + m + 2mx + -2x + x2 = -5 + 2x + -1x2 + 5 + -2x + x2

Reorder the terms:
5 + m + 2mx + -2x + x2 = -5 + 5 + 2x + -2x + -1x2 + x2

Combine like terms: -5 + 5 = 0
5 + m + 2mx + -2x + x2 = 0 + 2x + -2x + -1x2 + x2
5 + m + 2mx + -2x + x2 = 2x + -2x + -1x2 + x2

Combine like terms: 2x + -2x = 0
5 + m + 2mx + -2x + x2 = 0 + -1x2 + x2
5 + m + 2mx + -2x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
5 + m + 2mx + -2x + x2 = 0

The solution to this equation could not be determined.

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