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Simplifying 2(log(2x + 50)) + -4 = 0 Reorder the terms: 2(glo(50 + 2x)) + -4 = 0 2((50 * glo + 2x * glo)) + -4 = 0 2((50glo + 2glox)) + -4 = 0 (50glo * 2 + 2glox * 2) + -4 = 0 (100glo + 4glox) + -4 = 0 Reorder the terms: -4 + 100glo + 4glox = 0 Solving -4 + 100glo + 4glox = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 100glo + 4 + 4glox = 0 + 4 Reorder the terms: -4 + 4 + 100glo + 4glox = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 100glo + 4glox = 0 + 4 100glo + 4glox = 0 + 4 Combine like terms: 0 + 4 = 4 100glo + 4glox = 4 Reorder the terms: -4 + 100glo + 4glox = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 100glo + 4glox = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-1 + 25glo + glox) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + 25glo + glox)' equal to zero and attempt to solve: Simplifying -1 + 25glo + glox = 0 Solving -1 + 25glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 25glo + 1 + glox = 0 + 1 Reorder the terms: -1 + 1 + 25glo + glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 25glo + glox = 0 + 1 25glo + glox = 0 + 1 Combine like terms: 0 + 1 = 1 25glo + glox = 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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