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Simplifying lg(20X4) + -1lg(2X3) = 0 Remove parenthesis around (20X4) gl * 20X4 + -1lg(2X3) = 0 Reorder the terms for easier multiplication: 20gl * X4 + -1lg(2X3) = 0 Multiply gl * X4 20glX4 + -1lg(2X3) = 0 Remove parenthesis around (2X3) 20glX4 + -1gl * 2X3 = 0 Reorder the terms for easier multiplication: 20glX4 + -1 * 2gl * X3 = 0 Multiply -1 * 2 20glX4 + -2gl * X3 = 0 Multiply gl * X3 20glX4 + -2glX3 = 0 Reorder the terms: -2glX3 + 20glX4 = 0 Solving -2glX3 + 20glX4 = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2glX3'. 2glX3(-1 + 10X) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'glX3' equal to zero and attempt to solve: Simplifying glX3 = 0 Solving glX3 = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glX3 = 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 '(-1 + 10X)' equal to zero and attempt to solve: Simplifying -1 + 10X = 0 Solving -1 + 10X = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 10X = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 10X = 0 + 1 10X = 0 + 1 Combine like terms: 0 + 1 = 1 10X = 1 Add '-10X' to each side of the equation. 10X + -10X = 1 + -10X Combine like terms: 10X + -10X = 0 0 = 1 + -10X Simplifying 0 = 1 + -10X 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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