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Simplifying log[3](4x2 + 4x + 10) = 0 Reorder the terms: glo * 3(10 + 4x + 4x2) = 0 Reorder the terms for easier multiplication: 3glo(10 + 4x + 4x2) = 0 (10 * 3glo + 4x * 3glo + 4x2 * 3glo) = 0 (30glo + 12glox + 12glox2) = 0 Solving 30glo + 12glox + 12glox2 = 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), '6glo'. 6glo(5 + 2x + 2x2) = 0 Ignore the factor 6.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 '(5 + 2x + 2x2)' equal to zero and attempt to solve: Simplifying 5 + 2x + 2x2 = 0 Solving 5 + 2x + 2x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 2x + -5 + 2x2 = 0 + -5 Reorder the terms: 5 + -5 + 2x + 2x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x + 2x2 = 0 + -5 2x + 2x2 = 0 + -5 Combine like terms: 0 + -5 = -5 2x + 2x2 = -5 Add '-2x' to each side of the equation. 2x + -2x + 2x2 = -5 + -2x Combine like terms: 2x + -2x = 0 0 + 2x2 = -5 + -2x 2x2 = -5 + -2x Add '-2x2' to each side of the equation. 2x2 + -2x2 = -5 + -2x + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 = -5 + -2x + -2x2 Simplifying 0 = -5 + -2x + -2x2 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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