m(m+10)=-34

Solution for m(m+10)=-34 equation:

Simplifying
m(m + 10) = -34

Reorder the terms:
m(10 + m) = -34
(10 * m + m * m) = -34
(10m + m2) = -34

Solving
10m + m2 = -34

Solving for variable 'm'.

Reorder the terms:
34 + 10m + m2 = -34 + 34

Combine like terms: -34 + 34 = 0
34 + 10m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-34' to each side of the equation.
34 + 10m + -34 + m2 = 0 + -34

Reorder the terms:
34 + -34 + 10m + m2 = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 10m + m2 = 0 + -34
10m + m2 = 0 + -34

Combine like terms: 0 + -34 = -34
10m + m2 = -34

The m term is 10m.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10m + 25 + m2 = -34 + 25

Reorder the terms:
25 + 10m + m2 = -34 + 25

Combine like terms: -34 + 25 = -9
25 + 10m + m2 = -9

Factor a perfect square on the left side:
(m + 5)(m + 5) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.