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Simplifying lg2x + -10x + 9 = 0 Reorder the terms: 9 + g2lx + -10x = 0 Solving 9 + g2lx + -10x = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + g2lx + -9 + -10x = 0 + -9 Reorder the terms: 9 + -9 + g2lx + -10x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + g2lx + -10x = 0 + -9 g2lx + -10x = 0 + -9 Combine like terms: 0 + -9 = -9 g2lx + -10x = -9 Add '10x' to each side of the equation. g2lx + -10x + 10x = -9 + 10x Combine like terms: -10x + 10x = 0 g2lx + 0 = -9 + 10x g2lx = -9 + 10x Divide each side by 'lx'. g2 = -9l-1x-1 + 10l-1 Simplifying g2 = -9l-1x-1 + 10l-1 Reorder the terms: g2 = 10l-1 + -9l-1x-1 Reorder the terms: g2 + -10l-1 + 9l-1x-1 = 10l-1 + -10l-1 + -9l-1x-1 + 9l-1x-1 Combine like terms: 10l-1 + -10l-1 = 0 g2 + -10l-1 + 9l-1x-1 = 0 + -9l-1x-1 + 9l-1x-1 g2 + -10l-1 + 9l-1x-1 = -9l-1x-1 + 9l-1x-1 Combine like terms: -9l-1x-1 + 9l-1x-1 = 0 g2 + -10l-1 + 9l-1x-1 = 0 Factor out the Greatest Common Factor (GCF), 'l-1'. l-1(g2l + -10 + 9x-1) = 0Subproblem 1
Set the factor 'l-1' equal to zero and attempt to solve: Simplifying l-1 = 0 Solving l-1 = 0 Move all terms containing g to the left, all other terms to the right. Add '-1l-1' to each side of the equation. l-1 + -1l-1 = 0 + -1l-1 Remove the zero: 0 = -1l-1 Simplifying 0 = -1l-1 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 '(g2l + -10 + 9x-1)' equal to zero and attempt to solve: Simplifying g2l + -10 + 9x-1 = 0 Reorder the terms: -10 + g2l + 9x-1 = 0 Solving -10 + g2l + 9x-1 = 0 Move all terms containing g to the left, all other terms to the right. Add '10' to each side of the equation. -10 + g2l + 10 + 9x-1 = 0 + 10 Reorder the terms: -10 + 10 + g2l + 9x-1 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + g2l + 9x-1 = 0 + 10 g2l + 9x-1 = 0 + 10 Combine like terms: 0 + 10 = 10 g2l + 9x-1 = 10 Add '-9x-1' to each side of the equation. g2l + 9x-1 + -9x-1 = 10 + -9x-1 Combine like terms: 9x-1 + -9x-1 = 0 g2l + 0 = 10 + -9x-1 g2l = 10 + -9x-1 Divide each side by 'l'. g2 = 10l-1 + -9l-1x-1 Simplifying g2 = 10l-1 + -9l-1x-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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