log(base)2(x^2-3x-24)=2

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Solution for log(base)2(x^2-3x-24)=2 equation: 


Simplifying
log(base) * 2(x2 + -3x + -24) = 2

Reorder the terms:
glo * abes * 2(-24 + -3x + x2) = 2

Reorder the terms for easier multiplication:
2glo * abes(-24 + -3x + x2) = 2

Multiply glo * abes
2abeglos(-24 + -3x + x2) = 2
(-24 * 2abeglos + -3x * 2abeglos + x2 * 2abeglos) = 2
(-48abeglos + -6abeglosx + 2abeglosx2) = 2

Solving
-48abeglos + -6abeglosx + 2abeglosx2 = 2

Solving for variable 'a'.

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

Reorder the terms:
-2 + -48abeglos + -6abeglosx + 2abeglosx2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -48abeglos + -6abeglosx + 2abeglosx2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -24abeglos + -3abeglosx + abeglosx2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + -24abeglos + -3abeglosx + abeglosx2)' equal to zero and attempt to solve:

Simplifying
-1 + -24abeglos + -3abeglosx + abeglosx2 = 0

Solving
-1 + -24abeglos + -3abeglosx + abeglosx2 = 0

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

Add '1' to each side of the equation.
-1 + -24abeglos + -3abeglosx + 1 + abeglosx2 = 0 + 1

Reorder the terms:
-1 + 1 + -24abeglos + -3abeglosx + abeglosx2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -24abeglos + -3abeglosx + abeglosx2 = 0 + 1
-24abeglos + -3abeglosx + abeglosx2 = 0 + 1

Combine like terms: 0 + 1 = 1
-24abeglos + -3abeglosx + abeglosx2 = 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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