60=-2m(m+3)+m

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Solution for 60=-2m(m+3)+m equation:


Simplifying
60 = -2m(m + 3) + m

Reorder the terms:
60 = -2m(3 + m) + m
60 = (3 * -2m + m * -2m) + m
60 = (-6m + -2m2) + m

Reorder the terms:
60 = -6m + m + -2m2

Combine like terms: -6m + m = -5m
60 = -5m + -2m2

Solving
60 = -5m + -2m2

Solving for variable 'm'.

Reorder the terms:
60 + 5m + 2m2 = -5m + 5m + -2m2 + 2m2

Combine like terms: -5m + 5m = 0
60 + 5m + 2m2 = 0 + -2m2 + 2m2
60 + 5m + 2m2 = -2m2 + 2m2

Combine like terms: -2m2 + 2m2 = 0
60 + 5m + 2m2 = 0

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

Divide each side by '2'.
30 + 2.5m + m2 = 0

Move the constant term to the right:

Add '-30' to each side of the equation.
30 + 2.5m + -30 + m2 = 0 + -30

Reorder the terms:
30 + -30 + 2.5m + m2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + 2.5m + m2 = 0 + -30
2.5m + m2 = 0 + -30

Combine like terms: 0 + -30 = -30
2.5m + m2 = -30

The m term is 2.5m.  Take half its coefficient (1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
2.5m + 1.5625 + m2 = -30 + 1.5625

Reorder the terms:
1.5625 + 2.5m + m2 = -30 + 1.5625

Combine like terms: -30 + 1.5625 = -28.4375
1.5625 + 2.5m + m2 = -28.4375

Factor a perfect square on the left side:
(m + 1.25)(m + 1.25) = -28.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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