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Simplifying 10gx + 10g(x + -21) = 2 Reorder the terms: 10gx + 10g(-21 + x) = 2 10gx + (-21 * 10g + x * 10g) = 2 10gx + (-210g + 10gx) = 2 Reorder the terms: -210g + 10gx + 10gx = 2 Combine like terms: 10gx + 10gx = 20gx -210g + 20gx = 2 Solving -210g + 20gx = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + -210g + 20gx = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -210g + 20gx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -105g + 10gx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -105g + 10gx)' equal to zero and attempt to solve: Simplifying -1 + -105g + 10gx = 0 Solving -1 + -105g + 10gx = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -105g + 1 + 10gx = 0 + 1 Reorder the terms: -1 + 1 + -105g + 10gx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -105g + 10gx = 0 + 1 -105g + 10gx = 0 + 1 Combine like terms: 0 + 1 = 1 -105g + 10gx = 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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