2log^2(x+2)=10

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Solution for 2log^2(x+2)=10 equation:


Simplifying
2log2(x + 2) = 10

Reorder the terms:
2g2lo(2 + x) = 10
(2 * 2g2lo + x * 2g2lo) = 10
(4g2lo + 2g2lox) = 10

Solving
4g2lo + 2g2lox = 10

Solving for variable 'g'.

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

Reorder the terms:
-10 + 4g2lo + 2g2lox = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 4g2lo + 2g2lox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 2g2lo + g2lox) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + 2g2lo + g2lox)' equal to zero and attempt to solve: Simplifying -5 + 2g2lo + g2lox = 0 Solving -5 + 2g2lo + g2lox = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 2g2lo + 5 + g2lox = 0 + 5 Reorder the terms: -5 + 5 + 2g2lo + g2lox = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2g2lo + g2lox = 0 + 5 2g2lo + g2lox = 0 + 5 Combine like terms: 0 + 5 = 5 2g2lo + g2lox = 5 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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