Lo^2(8-6a)=log^2(10+3a)

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Solution for Lo^2(8-6a)=log^2(10+3a) equation: 


Simplifying
Lo2(8 + -6a) = log2(10 + 3a)
(8 * o2L + -6a * o2L) = log2(10 + 3a)

Reorder the terms:
(-6ao2L + 8o2L) = log2(10 + 3a)
(-6ao2L + 8o2L) = log2(10 + 3a)
-6ao2L + 8o2L = (10 * g2lo + 3a * g2lo)

Reorder the terms:
-6ao2L + 8o2L = (3ag2lo + 10g2lo)
-6ao2L + 8o2L = (3ag2lo + 10g2lo)

Solving
-6ao2L + 8o2L = 3ag2lo + 10g2lo

Solving for variable 'a'.

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

Add '-3ag2lo' to each side of the equation.
-6ao2L + -3ag2lo + 8o2L = 3ag2lo + -3ag2lo + 10g2lo

Reorder the terms:
-3ag2lo + -6ao2L + 8o2L = 3ag2lo + -3ag2lo + 10g2lo

Combine like terms: 3ag2lo + -3ag2lo = 0
-3ag2lo + -6ao2L + 8o2L = 0 + 10g2lo
-3ag2lo + -6ao2L + 8o2L = 10g2lo

Add '-8o2L' to each side of the equation.
-3ag2lo + -6ao2L + 8o2L + -8o2L = 10g2lo + -8o2L

Combine like terms: 8o2L + -8o2L = 0
-3ag2lo + -6ao2L + 0 = 10g2lo + -8o2L
-3ag2lo + -6ao2L = 10g2lo + -8o2L

Reorder the terms:
-3ag2lo + -6ao2L + -10g2lo + 8o2L = 10g2lo + -10g2lo + -8o2L + 8o2L

Combine like terms: 10g2lo + -10g2lo = 0
-3ag2lo + -6ao2L + -10g2lo + 8o2L = 0 + -8o2L + 8o2L
-3ag2lo + -6ao2L + -10g2lo + 8o2L = -8o2L + 8o2L

Combine like terms: -8o2L + 8o2L = 0
-3ag2lo + -6ao2L + -10g2lo + 8o2L = 0

Factor out the Greatest Common Factor (GCF), 'o'.
o(-3ag2l + -6aoL + -10g2l + 8oL) = 0


Subproblem 1
Set the factor 'o' equal to zero and attempt to solve:

Simplifying
o = 0

Solving
o = 0

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

Add '-1o' to each side of the equation.
o + -1o = 0 + -1o
Remove the zero:
0 = -1o

Simplifying
0 = -1o

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 '(-3ag2l + -6aoL + -10g2l + 8oL)' equal to zero and attempt to solve:

Simplifying
-3ag2l + -6aoL + -10g2l + 8oL = 0

Solving
-3ag2l + -6aoL + -10g2l + 8oL = 0

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

Add '10g2l' to each side of the equation.
-3ag2l + -6aoL + -10g2l + 10g2l + 8oL = 0 + 10g2l

Combine like terms: -10g2l + 10g2l = 0
-3ag2l + -6aoL + 0 + 8oL = 0 + 10g2l
-3ag2l + -6aoL + 8oL = 0 + 10g2l
Remove the zero:
-3ag2l + -6aoL + 8oL = 10g2l

Add '-8oL' to each side of the equation.
-3ag2l + -6aoL + 8oL + -8oL = 10g2l + -8oL

Combine like terms: 8oL + -8oL = 0
-3ag2l + -6aoL + 0 = 10g2l + -8oL
-3ag2l + -6aoL = 10g2l + -8oL

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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