-6n+8m(4n+11)=36

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Solution for -6n+8m(4n+11)=36 equation:


Simplifying
-6n + 8m(4n + 11) = 36

Reorder the terms:
-6n + 8m(11 + 4n) = 36
-6n + (11 * 8m + 4n * 8m) = 36
-6n + (88m + 32mn) = 36

Reorder the terms:
88m + 32mn + -6n = 36

Solving
88m + 32mn + -6n = 36

Solving for variable 'm'.

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

Add '6n' to each side of the equation.
88m + 32mn + -6n + 6n = 36 + 6n

Combine like terms: -6n + 6n = 0
88m + 32mn + 0 = 36 + 6n
88m + 32mn = 36 + 6n

Reorder the terms:
-36 + 88m + 32mn + -6n = 36 + 6n + -36 + -6n

Reorder the terms:
-36 + 88m + 32mn + -6n = 36 + -36 + 6n + -6n

Combine like terms: 36 + -36 = 0
-36 + 88m + 32mn + -6n = 0 + 6n + -6n
-36 + 88m + 32mn + -6n = 6n + -6n

Combine like terms: 6n + -6n = 0
-36 + 88m + 32mn + -6n = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-18 + 44m + 16mn + -3n) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-18 + 44m + 16mn + -3n)' equal to zero and attempt to solve: Simplifying -18 + 44m + 16mn + -3n = 0 Solving -18 + 44m + 16mn + -3n = 0 Move all terms containing m to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 44m + 16mn + 18 + -3n = 0 + 18 Reorder the terms: -18 + 18 + 44m + 16mn + -3n = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 44m + 16mn + -3n = 0 + 18 44m + 16mn + -3n = 0 + 18 Combine like terms: 0 + 18 = 18 44m + 16mn + -3n = 18 Add '3n' to each side of the equation. 44m + 16mn + -3n + 3n = 18 + 3n Combine like terms: -3n + 3n = 0 44m + 16mn + 0 = 18 + 3n 44m + 16mn = 18 + 3n 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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