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Simplifying F(x) = log * 0.45x Multiply F * x xF = log * 0.45x Reorder the terms for easier multiplication: xF = 0.45glo * x Multiply glo * x xF = 0.45glox Solving xF = 0.45glox Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.45glox' to each side of the equation. -0.45glox + xF = 0.45glox + -0.45glox Combine like terms: 0.45glox + -0.45glox = 0.00 -0.45glox + xF = 0.00 Factor out the Greatest Common Factor (GCF), 'x'. x(-0.45glo + F) = 0.00Subproblem 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 '(-0.45glo + F)' equal to zero and attempt to solve: Simplifying -0.45glo + F = 0 Reorder the terms: F + -0.45glo = 0 Solving F + -0.45glo = 0 Move all terms containing x to the left, all other terms to the right. Add '-1F' to each side of the equation. F + -1F + -0.45glo = 0 + -1F Combine like terms: F + -1F = 0 0 + -0.45glo = 0 + -1F -0.45glo = 0 + -1F Remove the zero: -0.45glo = -1F Add '0.45glo' to each side of the equation. -0.45glo + 0.45glo = -1F + 0.45glo Combine like terms: -0.45glo + 0.45glo = 0.00 0.00 = -1F + 0.45glo Simplifying 0.00 = -1F + 0.45glo The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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