4m^2+9+5m=5m+m^2

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Solution for 4m^2+9+5m=5m+m^2 equation:


Simplifying
4m2 + 9 + 5m = 5m + m2

Reorder the terms:
9 + 5m + 4m2 = 5m + m2

Add '-5m' to each side of the equation.
9 + 5m + -5m + 4m2 = 5m + -5m + m2

Combine like terms: 5m + -5m = 0
9 + 0 + 4m2 = 5m + -5m + m2
9 + 4m2 = 5m + -5m + m2

Combine like terms: 5m + -5m = 0
9 + 4m2 = 0 + m2
9 + 4m2 = m2

Solving
9 + 4m2 = m2

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-1m2' to each side of the equation.
9 + 4m2 + -1m2 = m2 + -1m2

Combine like terms: 4m2 + -1m2 = 3m2
9 + 3m2 = m2 + -1m2

Combine like terms: m2 + -1m2 = 0
9 + 3m2 = 0

Add '-9' to each side of the equation.
9 + -9 + 3m2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 3m2 = 0 + -9
3m2 = 0 + -9

Combine like terms: 0 + -9 = -9
3m2 = -9

Divide each side by '3'.
m2 = -3

Simplifying
m2 = -3

Reorder the terms:
3 + m2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + m2 = 0

The solution to this equation could not be determined.

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