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Simplifying lg(x2 + -4x + 5) = 0 Reorder the terms: gl(5 + -4x + x2) = 0 (5 * gl + -4x * gl + x2 * gl) = 0 (5gl + -4glx + glx2) = 0 Solving 5gl + -4glx + glx2 = 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), 'gl'. gl(5 + -4x + x2) = 0Subproblem 1
Set the factor 'gl' equal to zero and attempt to solve: Simplifying gl = 0 Solving gl = 0 Move all terms containing g to the left, all other terms to the right. Simplifying gl = 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 '(5 + -4x + x2)' equal to zero and attempt to solve: Simplifying 5 + -4x + x2 = 0 Solving 5 + -4x + x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -4x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + -4x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x + x2 = 0 + -5 -4x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -4x + x2 = -5 Add '4x' to each side of the equation. -4x + 4x + x2 = -5 + 4x Combine like terms: -4x + 4x = 0 0 + x2 = -5 + 4x x2 = -5 + 4x Add '-1x2' to each side of the equation. x2 + -1x2 = -5 + 4x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -5 + 4x + -1x2 Simplifying 0 = -5 + 4x + -1x2 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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