m+5=-(m^2-5m+25)

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Solution for m+5=-(m^2-5m+25) equation: 


Simplifying
m + 5 = -1(m2 + -5m + 25)

Reorder the terms:
5 + m = -1(m2 + -5m + 25)

Reorder the terms:
5 + m = -1(25 + -5m + m2)
5 + m = (25 * -1 + -5m * -1 + m2 * -1)
5 + m = (-25 + 5m + -1m2)

Solving
5 + m = -25 + 5m + -1m2

Solving for variable 'm'.

Reorder the terms:
5 + 25 + m + -5m + m2 = -25 + 5m + -1m2 + 25 + -5m + m2

Combine like terms: 5 + 25 = 30
30 + m + -5m + m2 = -25 + 5m + -1m2 + 25 + -5m + m2

Combine like terms: m + -5m = -4m
30 + -4m + m2 = -25 + 5m + -1m2 + 25 + -5m + m2

Reorder the terms:
30 + -4m + m2 = -25 + 25 + 5m + -5m + -1m2 + m2

Combine like terms: -25 + 25 = 0
30 + -4m + m2 = 0 + 5m + -5m + -1m2 + m2
30 + -4m + m2 = 5m + -5m + -1m2 + m2

Combine like terms: 5m + -5m = 0
30 + -4m + m2 = 0 + -1m2 + m2
30 + -4m + m2 = -1m2 + m2

Combine like terms: -1m2 + m2 = 0
30 + -4m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-30' to each side of the equation.
30 + -4m + -30 + m2 = 0 + -30

Reorder the terms:
30 + -30 + -4m + m2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -4m + m2 = 0 + -30
-4m + m2 = 0 + -30

Combine like terms: 0 + -30 = -30
-4m + m2 = -30

The m term is -4m.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4m + 4 + m2 = -30 + 4

Reorder the terms:
4 + -4m + m2 = -30 + 4

Combine like terms: -30 + 4 = -26
4 + -4m + m2 = -26

Factor a perfect square on the left side:
(m + -2)(m + -2) = -26

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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