2m^2+3m-5m^2+4m-5=4

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Solution for 2m^2+3m-5m^2+4m-5=4 equation:


Simplifying
2m2 + 3m + -5m2 + 4m + -5 = 4

Reorder the terms:
-5 + 3m + 4m + 2m2 + -5m2 = 4

Combine like terms: 3m + 4m = 7m
-5 + 7m + 2m2 + -5m2 = 4

Combine like terms: 2m2 + -5m2 = -3m2
-5 + 7m + -3m2 = 4

Solving
-5 + 7m + -3m2 = 4

Solving for variable 'm'.

Reorder the terms:
-5 + -4 + 7m + -3m2 = 4 + -4

Combine like terms: -5 + -4 = -9
-9 + 7m + -3m2 = 4 + -4

Combine like terms: 4 + -4 = 0
-9 + 7m + -3m2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
3 + -2.333333333m + m2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2.333333333m + -3 + m2 = 0 + -3

Reorder the terms:
3 + -3 + -2.333333333m + m2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2.333333333m + m2 = 0 + -3
-2.333333333m + m2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2.333333333m + m2 = -3

The m term is -2.333333333m.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333m + 1.361111112 + m2 = -3 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333m + m2 = -3 + 1.361111112

Combine like terms: -3 + 1.361111112 = -1.638888888
1.361111112 + -2.333333333m + m2 = -1.638888888

Factor a perfect square on the left side:
(m + -1.166666667)(m + -1.166666667) = -1.638888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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