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Simplifying Log(8x3 + 12x2 + -2x + 1) = 0 Reorder the terms: goL(1 + -2x + 12x2 + 8x3) = 0 (1 * goL + -2x * goL + 12x2 * goL + 8x3 * goL) = 0 (1goL + -2goxL + 12gox2L + 8gox3L) = 0 Solving 1goL + -2goxL + 12gox2L + 8gox3L = 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(1 + -2x + 12x2 + 8x3) = 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 '(1 + -2x + 12x2 + 8x3)' equal to zero and attempt to solve: Simplifying 1 + -2x + 12x2 + 8x3 = 0 Solving 1 + -2x + 12x2 + 8x3 = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2x + 12x2 + -1 + 8x3 = 0 + -1 Reorder the terms: 1 + -1 + -2x + 12x2 + 8x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x + 12x2 + 8x3 = 0 + -1 -2x + 12x2 + 8x3 = 0 + -1 Combine like terms: 0 + -1 = -1 -2x + 12x2 + 8x3 = -1 Add '2x' to each side of the equation. -2x + 12x2 + 2x + 8x3 = -1 + 2x Reorder the terms: -2x + 2x + 12x2 + 8x3 = -1 + 2x Combine like terms: -2x + 2x = 0 0 + 12x2 + 8x3 = -1 + 2x 12x2 + 8x3 = -1 + 2x Add '-12x2' to each side of the equation. 12x2 + -12x2 + 8x3 = -1 + 2x + -12x2 Combine like terms: 12x2 + -12x2 = 0 0 + 8x3 = -1 + 2x + -12x2 8x3 = -1 + 2x + -12x2 Add '-8x3' to each side of the equation. 8x3 + -8x3 = -1 + 2x + -12x2 + -8x3 Combine like terms: 8x3 + -8x3 = 0 0 = -1 + 2x + -12x2 + -8x3 Simplifying 0 = -1 + 2x + -12x2 + -8x3 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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