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Simplifying 2log(10)(x) + log(10)(6 + -1x2) = 0 Reorder the terms for easier multiplication: 2 * 10glo * x + log(10)(6 + -1x2) = 0 Multiply 2 * 10 20glo * x + log(10)(6 + -1x2) = 0 Multiply glo * x 20glox + log(10)(6 + -1x2) = 0 Reorder the terms for easier multiplication: 20glox + 10glo(6 + -1x2) = 0 20glox + (6 * 10glo + -1x2 * 10glo) = 0 20glox + (60glo + -10glox2) = 0 Reorder the terms: 60glo + 20glox + -10glox2 = 0 Solving 60glo + 20glox + -10glox2 = 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), '10glo'. 10glo(6 + 2x + -1x2) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(6 + 2x + -1x2)' equal to zero and attempt to solve: Simplifying 6 + 2x + -1x2 = 0 Solving 6 + 2x + -1x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 2x + -6 + -1x2 = 0 + -6 Reorder the terms: 6 + -6 + 2x + -1x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2x + -1x2 = 0 + -6 2x + -1x2 = 0 + -6 Combine like terms: 0 + -6 = -6 2x + -1x2 = -6 Add '-2x' to each side of the equation. 2x + -2x + -1x2 = -6 + -2x Combine like terms: 2x + -2x = 0 0 + -1x2 = -6 + -2x -1x2 = -6 + -2x Add 'x2' to each side of the equation. -1x2 + x2 = -6 + -2x + x2 Combine like terms: -1x2 + x2 = 0 0 = -6 + -2x + x2 Simplifying 0 = -6 + -2x + x2 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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