5(n+3)m+5=-25

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Solution for 5(n+3)m+5=-25 equation:


Simplifying
5(n + 3) * m + 5 = -25

Reorder the terms:
5(3 + n) * m + 5 = -25

Reorder the terms for easier multiplication:
5m(3 + n) + 5 = -25
(3 * 5m + n * 5m) + 5 = -25
(15m + 5mn) + 5 = -25

Reorder the terms:
5 + 15m + 5mn = -25

Solving
5 + 15m + 5mn = -25

Solving for variable 'm'.

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

Add '-5' to each side of the equation.
5 + 15m + -5 + 5mn = -25 + -5

Reorder the terms:
5 + -5 + 15m + 5mn = -25 + -5

Combine like terms: 5 + -5 = 0
0 + 15m + 5mn = -25 + -5
15m + 5mn = -25 + -5

Combine like terms: -25 + -5 = -30
15m + 5mn = -30

Reorder the terms:
30 + 15m + 5mn = -30 + 30

Combine like terms: -30 + 30 = 0
30 + 15m + 5mn = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(6 + 3m + mn) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(6 + 3m + mn)' equal to zero and attempt to solve: Simplifying 6 + 3m + mn = 0 Solving 6 + 3m + mn = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 3m + -6 + mn = 0 + -6 Reorder the terms: 6 + -6 + 3m + mn = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3m + mn = 0 + -6 3m + mn = 0 + -6 Combine like terms: 0 + -6 = -6 3m + mn = -6 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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