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Simplifying logbase(2x + 6) * 144 = 2 Reorder the terms: abeglos(6 + 2x) * 144 = 2 Reorder the terms for easier multiplication: 144abeglos(6 + 2x) = 2 (6 * 144abeglos + 2x * 144abeglos) = 2 (864abeglos + 288abeglosx) = 2 Solving 864abeglos + 288abeglosx = 2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: -2 + 864abeglos + 288abeglosx = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 864abeglos + 288abeglosx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 432abeglos + 144abeglosx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 432abeglos + 144abeglosx)' equal to zero and attempt to solve: Simplifying -1 + 432abeglos + 144abeglosx = 0 Solving -1 + 432abeglos + 144abeglosx = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 432abeglos + 1 + 144abeglosx = 0 + 1 Reorder the terms: -1 + 1 + 432abeglos + 144abeglosx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 432abeglos + 144abeglosx = 0 + 1 432abeglos + 144abeglosx = 0 + 1 Combine like terms: 0 + 1 = 1 432abeglos + 144abeglosx = 1 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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