=(m+4)(a-5)+(m+4)(a+3)

Solution for =(m+4)(a-5)+(m+4)(a+3) equation:

Simplifying
0 = (m + 4)(a + -5) + (m + 4)(a + 3)

Reorder the terms:
0 = (4 + m)(a + -5) + (m + 4)(a + 3)

Reorder the terms:
0 = (4 + m)(-5 + a) + (m + 4)(a + 3)

Multiply (4 + m) * (-5 + a)
0 = (4(-5 + a) + m(-5 + a)) + (m + 4)(a + 3)
0 = ((-5 * 4 + a * 4) + m(-5 + a)) + (m + 4)(a + 3)
0 = ((-20 + 4a) + m(-5 + a)) + (m + 4)(a + 3)
0 = (-20 + 4a + (-5 * m + a * m)) + (m + 4)(a + 3)

Reorder the terms:
0 = (-20 + 4a + (am + -5m)) + (m + 4)(a + 3)
0 = (-20 + 4a + (am + -5m)) + (m + 4)(a + 3)
0 = (-20 + 4a + am + -5m) + (m + 4)(a + 3)

Reorder the terms:
0 = -20 + 4a + am + -5m + (4 + m)(a + 3)

Reorder the terms:
0 = -20 + 4a + am + -5m + (4 + m)(3 + a)

Multiply (4 + m) * (3 + a)
0 = -20 + 4a + am + -5m + (4(3 + a) + m(3 + a))
0 = -20 + 4a + am + -5m + ((3 * 4 + a * 4) + m(3 + a))
0 = -20 + 4a + am + -5m + ((12 + 4a) + m(3 + a))
0 = -20 + 4a + am + -5m + (12 + 4a + (3 * m + a * m))

Reorder the terms:
0 = -20 + 4a + am + -5m + (12 + 4a + (am + 3m))
0 = -20 + 4a + am + -5m + (12 + 4a + (am + 3m))
0 = -20 + 4a + am + -5m + (12 + 4a + am + 3m)

Reorder the terms:
0 = -20 + 12 + 4a + 4a + am + am + -5m + 3m

Combine like terms: -20 + 12 = -8
0 = -8 + 4a + 4a + am + am + -5m + 3m

Combine like terms: 4a + 4a = 8a
0 = -8 + 8a + am + am + -5m + 3m

Combine like terms: am + am = 2am
0 = -8 + 8a + 2am + -5m + 3m

Combine like terms: -5m + 3m = -2m
0 = -8 + 8a + 2am + -2m

Solving
0 = -8 + 8a + 2am + -2m

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-8a' to each side of the equation.
0 + -8a = -8 + 8a + 2am + -8a + -2m
Remove the zero:
-8a = -8 + 8a + 2am + -8a + -2m

Reorder the terms:
-8a = -8 + 8a + -8a + 2am + -2m

Combine like terms: 8a + -8a = 0
-8a = -8 + 0 + 2am + -2m
-8a = -8 + 2am + -2m

Add '-2am' to each side of the equation.
-8a + -2am = -8 + 2am + -2am + -2m

Combine like terms: 2am + -2am = 0
-8a + -2am = -8 + 0 + -2m
-8a + -2am = -8 + -2m

Reorder the terms:
8 + -8a + -2am + 2m = -8 + -2m + 8 + 2m

Reorder the terms:
8 + -8a + -2am + 2m = -8 + 8 + -2m + 2m

Combine like terms: -8 + 8 = 0
8 + -8a + -2am + 2m = 0 + -2m + 2m
8 + -8a + -2am + 2m = -2m + 2m

Combine like terms: -2m + 2m = 0
8 + -8a + -2am + 2m = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -4a + -1am + m) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(4 + -4a + -1am + m)' equal to zero and attempt to solve:

Simplifying
4 + -4a + -1am + m = 0

Solving
4 + -4a + -1am + m = 0

Move all terms containing a to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4a + -1am + -4 + m = 0 + -4

Reorder the terms:
4 + -4 + -4a + -1am + m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -4a + -1am + m = 0 + -4
-4a + -1am + m = 0 + -4

Combine like terms: 0 + -4 = -4
-4a + -1am + m = -4

Add '-1m' to each side of the equation.
-4a + -1am + m + -1m = -4 + -1m

Combine like terms: m + -1m = 0
-4a + -1am + 0 = -4 + -1m
-4a + -1am = -4 + -1m

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.