8log(-4m-5)+8=16

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Solution for 8log(-4m-5)+8=16 equation:


Simplifying
8log(-4m + -5) + 8 = 16

Reorder the terms:
8glo(-5 + -4m) + 8 = 16
(-5 * 8glo + -4m * 8glo) + 8 = 16

Reorder the terms:
(-32glmo + -40glo) + 8 = 16
(-32glmo + -40glo) + 8 = 16

Reorder the terms:
8 + -32glmo + -40glo = 16

Solving
8 + -32glmo + -40glo = 16

Solving for variable 'g'.

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

Add '-8' to each side of the equation.
8 + -32glmo + -8 + -40glo = 16 + -8

Reorder the terms:
8 + -8 + -32glmo + -40glo = 16 + -8

Combine like terms: 8 + -8 = 0
0 + -32glmo + -40glo = 16 + -8
-32glmo + -40glo = 16 + -8

Combine like terms: 16 + -8 = 8
-32glmo + -40glo = 8

Reorder the terms:
-8 + -32glmo + -40glo = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + -32glmo + -40glo = 0

Factor out the Greatest Common Factor (GCF), '-8'.
-8(1 + 4glmo + 5glo) = 0

Ignore the factor -8.

Subproblem 1

Set the factor '(1 + 4glmo + 5glo)' equal to zero and attempt to solve: Simplifying 1 + 4glmo + 5glo = 0 Solving 1 + 4glmo + 5glo = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4glmo + -1 + 5glo = 0 + -1 Reorder the terms: 1 + -1 + 4glmo + 5glo = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4glmo + 5glo = 0 + -1 4glmo + 5glo = 0 + -1 Combine like terms: 0 + -1 = -1 4glmo + 5glo = -1 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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