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

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


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

Multiply (4m + 5n) * (-3 + -5n)
(4m * (-3 + -5n) + 5n * (-3 + -5n)) = 0
((-3 * 4m + -5n * 4m) + 5n * (-3 + -5n)) = 0
((-12m + -20mn) + 5n * (-3 + -5n)) = 0
(-12m + -20mn + (-3 * 5n + -5n * 5n)) = 0
(-12m + -20mn + (-15n + -25n2)) = 0
(-12m + -20mn + -15n + -25n2) = 0

Solving
-12m + -20mn + -15n + -25n2 = 0

Solving for variable 'm'.

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

Add '15n' to each side of the equation.
-12m + -20mn + -15n + 15n + -25n2 = 0 + 15n

Combine like terms: -15n + 15n = 0
-12m + -20mn + 0 + -25n2 = 0 + 15n
-12m + -20mn + -25n2 = 0 + 15n
Remove the zero:
-12m + -20mn + -25n2 = 15n

Add '25n2' to each side of the equation.
-12m + -20mn + -25n2 + 25n2 = 15n + 25n2

Combine like terms: -25n2 + 25n2 = 0
-12m + -20mn + 0 = 15n + 25n2
-12m + -20mn = 15n + 25n2

Reorder the terms:
-12m + -20mn + -15n + -25n2 = 15n + -15n + 25n2 + -25n2

Combine like terms: 15n + -15n = 0
-12m + -20mn + -15n + -25n2 = 0 + 25n2 + -25n2
-12m + -20mn + -15n + -25n2 = 25n2 + -25n2

Combine like terms: 25n2 + -25n2 = 0
-12m + -20mn + -15n + -25n2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(12m + 20mn + 15n + 25n2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(12m + 20mn + 15n + 25n2)' equal to zero and attempt to solve:

Simplifying
12m + 20mn + 15n + 25n2 = 0

Solving
12m + 20mn + 15n + 25n2 = 0

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

Add '-15n' to each side of the equation.
12m + 20mn + 15n + -15n + 25n2 = 0 + -15n

Combine like terms: 15n + -15n = 0
12m + 20mn + 0 + 25n2 = 0 + -15n
12m + 20mn + 25n2 = 0 + -15n
Remove the zero:
12m + 20mn + 25n2 = -15n

Add '-25n2' to each side of the equation.
12m + 20mn + 25n2 + -25n2 = -15n + -25n2

Combine like terms: 25n2 + -25n2 = 0
12m + 20mn + 0 = -15n + -25n2
12m + 20mn = -15n + -25n2

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.

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