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Simplifying Log(9)(x2 + -6) = Log(9)(30) Reorder the terms: goL * 9(-6 + x2) = Log(9)(30) Reorder the terms for easier multiplication: 9goL(-6 + x2) = Log(9)(30) (-6 * 9goL + x2 * 9goL) = Log(9)(30) (-54goL + 9gox2L) = Log(9)(30) Reorder the terms for easier multiplication: -54goL + 9gox2L = 9 * 30goL Multiply 9 * 30 -54goL + 9gox2L = 270goL Solving -54goL + 9gox2L = 270goL Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-270goL' to each side of the equation. -54goL + -270goL + 9gox2L = 270goL + -270goL Combine like terms: -54goL + -270goL = -324goL -324goL + 9gox2L = 270goL + -270goL Combine like terms: 270goL + -270goL = 0 -324goL + 9gox2L = 0 Factor out the Greatest Common Factor (GCF), '9goL'. 9goL(-36 + x2) = 0 Factor a difference between two squares. 9goL((6 + x)(-6 + x)) = 0 Ignore the factor 9.Subproblem 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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Add '-1x' to each side of the equation. x + -1x = -6 + -1x Combine like terms: x + -1x = 0 0 = -6 + -1x Simplifying 0 = -6 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Add '-1x' to each side of the equation. x + -1x = 6 + -1x Combine like terms: x + -1x = 0 0 = 6 + -1x Simplifying 0 = 6 + -1x 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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