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Simplifying 10lg(5x + 40) = 30 Reorder the terms: 10gl(40 + 5x) = 30 (40 * 10gl + 5x * 10gl) = 30 (400gl + 50glx) = 30 Solving 400gl + 50glx = 30 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -30 + 400gl + 50glx = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + 400gl + 50glx = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-3 + 40gl + 5glx) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-3 + 40gl + 5glx)' equal to zero and attempt to solve: Simplifying -3 + 40gl + 5glx = 0 Solving -3 + 40gl + 5glx = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 40gl + 3 + 5glx = 0 + 3 Reorder the terms: -3 + 3 + 40gl + 5glx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 40gl + 5glx = 0 + 3 40gl + 5glx = 0 + 3 Combine like terms: 0 + 3 = 3 40gl + 5glx = 3 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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