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Simplifying log(4)(9y + 9) = 6x4 + 9 Reorder the terms: glo * 4(9 + 9y) = 6x4 + 9 Reorder the terms for easier multiplication: 4glo(9 + 9y) = 6x4 + 9 (9 * 4glo + 9y * 4glo) = 6x4 + 9 (36glo + 36gloy) = 6x4 + 9 Reorder the terms: 36glo + 36gloy = 9 + 6x4 Solving 36glo + 36gloy = 9 + 6x4 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -9 + 36glo + 36gloy + -6x4 = 9 + 6x4 + -9 + -6x4 Reorder the terms: -9 + 36glo + 36gloy + -6x4 = 9 + -9 + 6x4 + -6x4 Combine like terms: 9 + -9 = 0 -9 + 36glo + 36gloy + -6x4 = 0 + 6x4 + -6x4 -9 + 36glo + 36gloy + -6x4 = 6x4 + -6x4 Combine like terms: 6x4 + -6x4 = 0 -9 + 36glo + 36gloy + -6x4 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + 12glo + 12gloy + -2x4) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + 12glo + 12gloy + -2x4)' equal to zero and attempt to solve: Simplifying -3 + 12glo + 12gloy + -2x4 = 0 Solving -3 + 12glo + 12gloy + -2x4 = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 12glo + 12gloy + 3 + -2x4 = 0 + 3 Reorder the terms: -3 + 3 + 12glo + 12gloy + -2x4 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 12glo + 12gloy + -2x4 = 0 + 3 12glo + 12gloy + -2x4 = 0 + 3 Combine like terms: 0 + 3 = 3 12glo + 12gloy + -2x4 = 3 Add '2x4' to each side of the equation. 12glo + 12gloy + -2x4 + 2x4 = 3 + 2x4 Combine like terms: -2x4 + 2x4 = 0 12glo + 12gloy + 0 = 3 + 2x4 12glo + 12gloy = 3 + 2x4 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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