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Simplifying Log(3x2 + 2x + -4) = 0 Reorder the terms: goL(-4 + 2x + 3x2) = 0 (-4 * goL + 2x * goL + 3x2 * goL) = 0 (-4goL + 2goxL + 3gox2L) = 0 Solving -4goL + 2goxL + 3gox2L = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'goL'. goL(-4 + 2x + 3x2) = 0Subproblem 1
Set the factor 'goL' equal to zero and attempt to solve: Simplifying goL = 0 Solving goL = 0 Move all terms containing g to the left, all other terms to the right. Simplifying goL = 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 '(-4 + 2x + 3x2)' equal to zero and attempt to solve: Simplifying -4 + 2x + 3x2 = 0 Solving -4 + 2x + 3x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2x + 4 + 3x2 = 0 + 4 Reorder the terms: -4 + 4 + 2x + 3x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2x + 3x2 = 0 + 4 2x + 3x2 = 0 + 4 Combine like terms: 0 + 4 = 4 2x + 3x2 = 4 Add '-2x' to each side of the equation. 2x + -2x + 3x2 = 4 + -2x Combine like terms: 2x + -2x = 0 0 + 3x2 = 4 + -2x 3x2 = 4 + -2x Add '-3x2' to each side of the equation. 3x2 + -3x2 = 4 + -2x + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 = 4 + -2x + -3x2 Simplifying 0 = 4 + -2x + -3x2 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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