(m+3)(m+4)=-10

Solution for (m+3)(m+4)=-10 equation:

Simplifying
(m + 3)(m + 4) = -10

Reorder the terms:
(3 + m)(m + 4) = -10

Reorder the terms:
(3 + m)(4 + m) = -10

Multiply (3 + m) * (4 + m)
(3(4 + m) + m(4 + m)) = -10
((4 * 3 + m * 3) + m(4 + m)) = -10
((12 + 3m) + m(4 + m)) = -10
(12 + 3m + (4 * m + m * m)) = -10
(12 + 3m + (4m + m2)) = -10

Combine like terms: 3m + 4m = 7m
(12 + 7m + m2) = -10

Solving
12 + 7m + m2 = -10

Solving for variable 'm'.

Reorder the terms:
12 + 10 + 7m + m2 = -10 + 10

Combine like terms: 12 + 10 = 22
22 + 7m + m2 = -10 + 10

Combine like terms: -10 + 10 = 0
22 + 7m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-22' to each side of the equation.
22 + 7m + -22 + m2 = 0 + -22

Reorder the terms:
22 + -22 + 7m + m2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 7m + m2 = 0 + -22
7m + m2 = 0 + -22

Combine like terms: 0 + -22 = -22
7m + m2 = -22

The m term is 7m.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7m + 12.25 + m2 = -22 + 12.25

Reorder the terms:
12.25 + 7m + m2 = -22 + 12.25

Combine like terms: -22 + 12.25 = -9.75
12.25 + 7m + m2 = -9.75

Factor a perfect square on the left side:
(m + 3.5)(m + 3.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.