log(-2m^2-3)=log(2m+10)

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Solution for log(-2m^2-3)=log(2m+10) equation:


Simplifying
log(-2m2 + -3) = log(2m + 10)

Reorder the terms:
glo(-3 + -2m2) = log(2m + 10)
(-3 * glo + -2m2 * glo) = log(2m + 10)

Reorder the terms:
(-2glm2o + -3glo) = log(2m + 10)
(-2glm2o + -3glo) = log(2m + 10)

Reorder the terms:
-2glm2o + -3glo = glo(10 + 2m)
-2glm2o + -3glo = (10 * glo + 2m * glo)

Reorder the terms:
-2glm2o + -3glo = (2glmo + 10glo)
-2glm2o + -3glo = (2glmo + 10glo)

Solving
-2glm2o + -3glo = 2glmo + 10glo

Solving for variable 'g'.

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

Add '-2glmo' to each side of the equation.
-2glm2o + -2glmo + -3glo = 2glmo + -2glmo + 10glo

Reorder the terms:
-2glmo + -2glm2o + -3glo = 2glmo + -2glmo + 10glo

Combine like terms: 2glmo + -2glmo = 0
-2glmo + -2glm2o + -3glo = 0 + 10glo
-2glmo + -2glm2o + -3glo = 10glo

Add '-10glo' to each side of the equation.
-2glmo + -2glm2o + -3glo + -10glo = 10glo + -10glo

Combine like terms: -3glo + -10glo = -13glo
-2glmo + -2glm2o + -13glo = 10glo + -10glo

Combine like terms: 10glo + -10glo = 0
-2glmo + -2glm2o + -13glo = 0

Factor out the Greatest Common Factor (GCF), '-1glo'.
-1glo(2m + 2m2 + 13) = 0

Ignore the factor -1.

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 '(2m + 2m2 + 13)' equal to zero and attempt to solve: Simplifying 2m + 2m2 + 13 = 0 Reorder the terms: 13 + 2m + 2m2 = 0 Solving 13 + 2m + 2m2 = 0 Move all terms containing g to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 2m + -13 + 2m2 = 0 + -13 Reorder the terms: 13 + -13 + 2m + 2m2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2m + 2m2 = 0 + -13 2m + 2m2 = 0 + -13 Combine like terms: 0 + -13 = -13 2m + 2m2 = -13 Add '-2m' to each side of the equation. 2m + -2m + 2m2 = -13 + -2m Combine like terms: 2m + -2m = 0 0 + 2m2 = -13 + -2m 2m2 = -13 + -2m Add '-2m2' to each side of the equation. 2m2 + -2m2 = -13 + -2m + -2m2 Combine like terms: 2m2 + -2m2 = 0 0 = -13 + -2m + -2m2 Simplifying 0 = -13 + -2m + -2m2 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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