0=4log(2)(6x+8)

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Solution for 0=4log(2)(6x+8) equation:


Simplifying
0 = 4log(2)(6x + 8)

Reorder the terms:
0 = 4glo * 2(8 + 6x)

Reorder the terms for easier multiplication:
0 = 4 * 2glo(8 + 6x)

Multiply 4 * 2
0 = 8glo(8 + 6x)
0 = (8 * 8glo + 6x * 8glo)
0 = (64glo + 48glox)

Solving
0 = 64glo + 48glox

Solving for variable 'g'.

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

Add '-64glo' to each side of the equation.
0 + -64glo = 64glo + -64glo + 48glox
Remove the zero:
-64glo = 64glo + -64glo + 48glox

Combine like terms: 64glo + -64glo = 0
-64glo = 0 + 48glox
-64glo = 48glox

Add '-48glox' to each side of the equation.
-64glo + -48glox = 48glox + -48glox

Combine like terms: 48glox + -48glox = 0
-64glo + -48glox = 0

Factor out the Greatest Common Factor (GCF), '-16glo'.
-16glo(4 + 3x) = 0

Ignore the factor -16.

Subproblem 1

Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Add '-3x' to each side of the equation. 3x + -3x = -4 + -3x Combine like terms: 3x + -3x = 0 0 = -4 + -3x Simplifying 0 = -4 + -3x 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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