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Simplifying 8x2 = 64ln(x) Multiply ln * x 8x2 = 64lnx Solving 8x2 = 64lnx Solving for variable 'x'. Reorder the terms: -64lnx + 8x2 = 64lnx + -64lnx Combine like terms: 64lnx + -64lnx = 0 -64lnx + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '8x'. 8x(-8ln + x) = 0 Ignore the factor 8.Subproblem 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 '(-8ln + x)' equal to zero and attempt to solve: Simplifying -8ln + x = 0 Solving -8ln + x = 0 Move all terms containing x to the left, all other terms to the right. Add '8ln' to each side of the equation. -8ln + 8ln + x = 0 + 8ln Combine like terms: -8ln + 8ln = 0 0 + x = 0 + 8ln x = 0 + 8ln Remove the zero: x = 8ln Simplifying x = 8lnSolution
x = {0, 8ln}
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