(m+1)x^2+2mx+5=0

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


Simplifying
(m + 1) * x2 + 2mx + 5 = 0

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

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

Reorder the terms:
(mx2 + 1x2) + 2mx + 5 = 0
(mx2 + 1x2) + 2mx + 5 = 0

Reorder the terms:
5 + 2mx + mx2 + 1x2 = 0

Solving
5 + 2mx + mx2 + 1x2 = 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 + 2mx + mx2 + -5 + 1x2 = 0 + -5

Reorder the terms:
5 + -5 + 2mx + mx2 + 1x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2mx + mx2 + 1x2 = 0 + -5
2mx + mx2 + 1x2 = 0 + -5

Combine like terms: 0 + -5 = -5
2mx + mx2 + 1x2 = -5

Add '-1x2' to each side of the equation.
2mx + mx2 + 1x2 + -1x2 = -5 + -1x2

Combine like terms: 1x2 + -1x2 = 0
2mx + mx2 + 0 = -5 + -1x2
2mx + mx2 = -5 + -1x2

Reorder the terms:
5 + 2mx + mx2 + x2 = -5 + -1x2 + 5 + x2

Reorder the terms:
5 + 2mx + mx2 + x2 = -5 + 5 + -1x2 + x2

Combine like terms: -5 + 5 = 0
5 + 2mx + mx2 + x2 = 0 + -1x2 + x2
5 + 2mx + mx2 + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
5 + 2mx + mx2 + x2 = 0

The solution to this equation could not be determined.

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