74=-2(m+5)m

Solution for 74=-2(m+5)m equation:

Simplifying
74 = -2(m + 5) * m

Reorder the terms:
74 = -2(5 + m) * m

Reorder the terms for easier multiplication:
74 = -2m(5 + m)
74 = (5 * -2m + m * -2m)
74 = (-10m + -2m2)

Solving
74 = -10m + -2m2

Solving for variable 'm'.

Reorder the terms:
74 + 10m + 2m2 = -10m + 10m + -2m2 + 2m2

Combine like terms: -10m + 10m = 0
74 + 10m + 2m2 = 0 + -2m2 + 2m2
74 + 10m + 2m2 = -2m2 + 2m2

Combine like terms: -2m2 + 2m2 = 0
74 + 10m + 2m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(37 + 5m + m2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(37 + 5m + m2)' equal to zero and attempt to solve:

Simplifying
37 + 5m + m2 = 0

Solving
37 + 5m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-37' to each side of the equation.
37 + 5m + -37 + m2 = 0 + -37

Reorder the terms:
37 + -37 + 5m + m2 = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 5m + m2 = 0 + -37
5m + m2 = 0 + -37

Combine like terms: 0 + -37 = -37
5m + m2 = -37

The m term is 5m.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5m + 6.25 + m2 = -37 + 6.25

Reorder the terms:
6.25 + 5m + m2 = -37 + 6.25

Combine like terms: -37 + 6.25 = -30.75
6.25 + 5m + m2 = -30.75

Factor a perfect square on the left side:
(m + 2.5)(m + 2.5) = -30.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.