(m-5)x^2+2(m-11)x+m+5=0

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Solution for (m-5)x^2+2(m-11)x+m+5=0 equation: 


Simplifying
(m + -5) * x2 + 2(m + -11) * x + m + 5 = 0

Reorder the terms:
(-5 + m) * x2 + 2(m + -11) * x + m + 5 = 0

Reorder the terms for easier multiplication:
x2(-5 + m) + 2(m + -11) * x + m + 5 = 0
(-5 * x2 + m * x2) + 2(m + -11) * x + m + 5 = 0

Reorder the terms:
(mx2 + -5x2) + 2(m + -11) * x + m + 5 = 0
(mx2 + -5x2) + 2(m + -11) * x + m + 5 = 0

Reorder the terms:
mx2 + -5x2 + 2(-11 + m) * x + m + 5 = 0

Reorder the terms for easier multiplication:
mx2 + -5x2 + 2x(-11 + m) + m + 5 = 0
mx2 + -5x2 + (-11 * 2x + m * 2x) + m + 5 = 0

Reorder the terms:
mx2 + -5x2 + (2mx + -22x) + m + 5 = 0
mx2 + -5x2 + (2mx + -22x) + m + 5 = 0

Reorder the terms:
5 + m + 2mx + mx2 + -22x + -5x2 = 0

Solving
5 + m + 2mx + mx2 + -22x + -5x2 = 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 + mx2 + -22x + -5 + -5x2 = 0 + -5

Reorder the terms:
5 + -5 + m + 2mx + mx2 + -22x + -5x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + m + 2mx + mx2 + -22x + -5x2 = 0 + -5
m + 2mx + mx2 + -22x + -5x2 = 0 + -5

Combine like terms: 0 + -5 = -5
m + 2mx + mx2 + -22x + -5x2 = -5

Add '22x' to each side of the equation.
m + 2mx + mx2 + -22x + 22x + -5x2 = -5 + 22x

Combine like terms: -22x + 22x = 0
m + 2mx + mx2 + 0 + -5x2 = -5 + 22x
m + 2mx + mx2 + -5x2 = -5 + 22x

Add '5x2' to each side of the equation.
m + 2mx + mx2 + -5x2 + 5x2 = -5 + 22x + 5x2

Combine like terms: -5x2 + 5x2 = 0
m + 2mx + mx2 + 0 = -5 + 22x + 5x2
m + 2mx + mx2 = -5 + 22x + 5x2

Reorder the terms:
5 + m + 2mx + mx2 + -22x + -5x2 = -5 + 22x + 5x2 + 5 + -22x + -5x2

Reorder the terms:
5 + m + 2mx + mx2 + -22x + -5x2 = -5 + 5 + 22x + -22x + 5x2 + -5x2

Combine like terms: -5 + 5 = 0
5 + m + 2mx + mx2 + -22x + -5x2 = 0 + 22x + -22x + 5x2 + -5x2
5 + m + 2mx + mx2 + -22x + -5x2 = 22x + -22x + 5x2 + -5x2

Combine like terms: 22x + -22x = 0
5 + m + 2mx + mx2 + -22x + -5x2 = 0 + 5x2 + -5x2
5 + m + 2mx + mx2 + -22x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
5 + m + 2mx + mx2 + -22x + -5x2 = 0

The solution to this equation could not be determined.

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