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Simplifying Log(19)(-5x + -6) = log(19)(2 + -3x) Reorder the terms: goL * 19(-6 + -5x) = log(19)(2 + -3x) Reorder the terms for easier multiplication: 19goL(-6 + -5x) = log(19)(2 + -3x) (-6 * 19goL + -5x * 19goL) = log(19)(2 + -3x) (-114goL + -95goxL) = log(19)(2 + -3x) Reorder the terms for easier multiplication: -114goL + -95goxL = 19glo(2 + -3x) -114goL + -95goxL = (2 * 19glo + -3x * 19glo) -114goL + -95goxL = (38glo + -57glox) Solving -114goL + -95goxL = 38glo + -57glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-38glo' to each side of the equation. -114goL + -38glo + -95goxL = 38glo + -38glo + -57glox Reorder the terms: -38glo + -114goL + -95goxL = 38glo + -38glo + -57glox Combine like terms: 38glo + -38glo = 0 -38glo + -114goL + -95goxL = 0 + -57glox -38glo + -114goL + -95goxL = -57glox Add '57glox' to each side of the equation. -38glo + -114goL + 57glox + -95goxL = -57glox + 57glox Reorder the terms: -38glo + 57glox + -114goL + -95goxL = -57glox + 57glox Combine like terms: -57glox + 57glox = 0 -38glo + 57glox + -114goL + -95goxL = 0 Factor out the Greatest Common Factor (GCF), '19go'. 19go(-2l + 3lx + -6L + -5xL) = 0 Ignore the factor 19.Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(-2l + 3lx + -6L + -5xL)' equal to zero and attempt to solve: Simplifying -2l + 3lx + -6L + -5xL = 0 Reorder the terms: -6L + -2l + 3lx + -5xL = 0 Solving -6L + -2l + 3lx + -5xL = 0 Move all terms containing g to the left, all other terms to the right. Add '6L' to each side of the equation. -6L + -2l + 3lx + 6L + -5xL = 0 + 6L Reorder the terms: -6L + 6L + -2l + 3lx + -5xL = 0 + 6L Combine like terms: -6L + 6L = 0 0 + -2l + 3lx + -5xL = 0 + 6L -2l + 3lx + -5xL = 0 + 6L Remove the zero: -2l + 3lx + -5xL = 6L Add '2l' to each side of the equation. -2l + 3lx + 2l + -5xL = 6L + 2l Reorder the terms: -2l + 2l + 3lx + -5xL = 6L + 2l Combine like terms: -2l + 2l = 0 0 + 3lx + -5xL = 6L + 2l 3lx + -5xL = 6L + 2l Add '-3lx' to each side of the equation. 3lx + -3lx + -5xL = 6L + 2l + -3lx Combine like terms: 3lx + -3lx = 0 0 + -5xL = 6L + 2l + -3lx -5xL = 6L + 2l + -3lx Add '5xL' to each side of the equation. -5xL + 5xL = 6L + 2l + -3lx + 5xL Combine like terms: -5xL + 5xL = 0 0 = 6L + 2l + -3lx + 5xL Simplifying 0 = 6L + 2l + -3lx + 5xL 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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