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Simplifying ln(x2 + -6x) = log * 7 Reorder the terms: ln(-6x + x2) = log * 7 (-6x * ln + x2 * ln) = log * 7 (-6lnx + lnx2) = log * 7 Reorder the terms for easier multiplication: -6lnx + lnx2 = 7glo Solving -6lnx + lnx2 = 7glo Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-7glo' to each side of the equation. -6lnx + -7glo + lnx2 = 7glo + -7glo Reorder the terms: -7glo + -6lnx + lnx2 = 7glo + -7glo Combine like terms: 7glo + -7glo = 0 -7glo + -6lnx + lnx2 = 0 Factor out the Greatest Common Factor (GCF), 'l'. l(-7go + -6nx + nx2) = 0Subproblem 1
Set the factor 'l' equal to zero and attempt to solve: Simplifying l = 0 Solving l = 0 Move all terms containing l to the left, all other terms to the right. Simplifying l = 0Subproblem 2
Set the factor '(-7go + -6nx + nx2)' equal to zero and attempt to solve: Simplifying -7go + -6nx + nx2 = 0 Solving -7go + -6nx + nx2 = 0 Move all terms containing l to the left, all other terms to the right. Add '7go' to each side of the equation. -7go + -6nx + 7go + nx2 = 0 + 7go Reorder the terms: -7go + 7go + -6nx + nx2 = 0 + 7go Combine like terms: -7go + 7go = 0 0 + -6nx + nx2 = 0 + 7go -6nx + nx2 = 0 + 7go Remove the zero: -6nx + nx2 = 7go Add '6nx' to each side of the equation. -6nx + 6nx + nx2 = 7go + 6nx Combine like terms: -6nx + 6nx = 0 0 + nx2 = 7go + 6nx nx2 = 7go + 6nx Add '-1nx2' to each side of the equation. nx2 + -1nx2 = 7go + 6nx + -1nx2 Combine like terms: nx2 + -1nx2 = 0 0 = 7go + 6nx + -1nx2 Simplifying 0 = 7go + 6nx + -1nx2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
l = {0}
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