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Simplifying x2 + -5x = logx Reorder the terms: -5x + x2 = logx Solving -5x + x2 = glox Solving for variable 'x'. Reorder the terms: -1glox + -5x + x2 = glox + -1glox Combine like terms: glox + -1glox = 0 -1glox + -5x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1glo + -5 + x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1glo + -5 + x)' equal to zero and attempt to solve: Simplifying -1glo + -5 + x = 0 Reorder the terms: -5 + -1glo + x = 0 Solving -5 + -1glo + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -1glo + 5 + x = 0 + 5 Reorder the terms: -5 + 5 + -1glo + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1glo + x = 0 + 5 -1glo + x = 0 + 5 Combine like terms: 0 + 5 = 5 -1glo + x = 5 Add 'glo' to each side of the equation. -1glo + glo + x = 5 + glo Combine like terms: -1glo + glo = 0 0 + x = 5 + glo x = 5 + glo Simplifying x = 5 + gloSolution
x = {0, 5 + glo}
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