x^2+mx+5=0

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Solution for x^2+mx+5=0 equation:


Simplifying
x2 + mx + 5 = 0

Reorder the terms:
5 + mx + x2 = 0

Solving
5 + mx + 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 + mx + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + mx + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + mx + x2 = 0 + -5
mx + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
mx + x2 = -5

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

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

Divide each side by 'x'.
m = -5x-1 + -1x

Simplifying
m = -5x-1 + -1x

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