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Simplifying F(x) = 10ln * 7x Multiply F * x xF = 10ln * 7x Reorder the terms for easier multiplication: xF = 10 * 7ln * x Multiply 10 * 7 xF = 70ln * x Multiply ln * x xF = 70lnx Solving xF = 70lnx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70lnx' to each side of the equation. -70lnx + xF = 70lnx + -70lnx Combine like terms: 70lnx + -70lnx = 0 -70lnx + xF = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-70ln + F) = 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 '(-70ln + F)' equal to zero and attempt to solve: Simplifying -70ln + F = 0 Reorder the terms: F + -70ln = 0 Solving F + -70ln = 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 + -70ln = 0 + -1F Combine like terms: F + -1F = 0 0 + -70ln = 0 + -1F -70ln = 0 + -1F Remove the zero: -70ln = -1F Add '70ln' to each side of the equation. -70ln + 70ln = -1F + 70ln Combine like terms: -70ln + 70ln = 0 0 = -1F + 70ln Simplifying 0 = -1F + 70ln 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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