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Simplifying log(7) * 9 + log(7)(4x2 + -5) = log(7) * 21 Reorder the terms for easier multiplication: 7 * 9glo + log(7)(4x2 + -5) = log(7) * 21 Multiply 7 * 9 63glo + log(7)(4x2 + -5) = log(7) * 21 Reorder the terms: 63glo + glo * 7(-5 + 4x2) = log(7) * 21 Reorder the terms for easier multiplication: 63glo + 7glo(-5 + 4x2) = log(7) * 21 63glo + (-5 * 7glo + 4x2 * 7glo) = log(7) * 21 63glo + (-35glo + 28glox2) = log(7) * 21 Combine like terms: 63glo + -35glo = 28glo 28glo + 28glox2 = log(7) * 21 Reorder the terms for easier multiplication: 28glo + 28glox2 = 7 * 21glo Multiply 7 * 21 28glo + 28glox2 = 147glo Solving 28glo + 28glox2 = 147glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-147glo' to each side of the equation. 28glo + -147glo + 28glox2 = 147glo + -147glo Combine like terms: 28glo + -147glo = -119glo -119glo + 28glox2 = 147glo + -147glo Combine like terms: 147glo + -147glo = 0 -119glo + 28glox2 = 0 Factor out the Greatest Common Factor (GCF), '7glo'. 7glo(-17 + 4x2) = 0 Ignore the factor 7.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 '(-17 + 4x2)' equal to zero and attempt to solve: Simplifying -17 + 4x2 = 0 Solving -17 + 4x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 4x2 = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 4x2 = 0 + 17 4x2 = 0 + 17 Combine like terms: 0 + 17 = 17 4x2 = 17 Add '-4x2' to each side of the equation. 4x2 + -4x2 = 17 + -4x2 Combine like terms: 4x2 + -4x2 = 0 0 = 17 + -4x2 Simplifying 0 = 17 + -4x2 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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