log*x^2-log*x=log*100

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Solution for log*x^2-log*x=log*100 equation:


Simplifying
log * x2 + -1log * x = log * 100

Multiply glo * x2
glox2 + -1log * x = log * 100

Multiply glo * x
glox2 + -1glox = log * 100

Reorder the terms:
-1glox + glox2 = log * 100

Reorder the terms for easier multiplication:
-1glox + glox2 = 100glo

Solving
-1glox + glox2 = 100glo

Solving for variable 'g'.

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

Add '-100glo' to each side of the equation.
-1glox + -100glo + glox2 = 100glo + -100glo

Reorder the terms:
-100glo + -1glox + glox2 = 100glo + -100glo

Combine like terms: 100glo + -100glo = 0
-100glo + -1glox + glox2 = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-100 + -1x + x2) = 0

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 '(-100 + -1x + x2)' equal to zero and attempt to solve: Simplifying -100 + -1x + x2 = 0 Solving -100 + -1x + x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '100' to each side of the equation. -100 + -1x + 100 + x2 = 0 + 100 Reorder the terms: -100 + 100 + -1x + x2 = 0 + 100 Combine like terms: -100 + 100 = 0 0 + -1x + x2 = 0 + 100 -1x + x2 = 0 + 100 Combine like terms: 0 + 100 = 100 -1x + x2 = 100 Add 'x' to each side of the equation. -1x + x + x2 = 100 + x Combine like terms: -1x + x = 0 0 + x2 = 100 + x x2 = 100 + x Add '-1x2' to each side of the equation. x2 + -1x2 = 100 + x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 100 + x + -1x2 Simplifying 0 = 100 + x + -1x2 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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