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Simplifying 30LN(x) = 10x2 Multiply LN * x 30xLN = 10x2 Solving 30xLN = 10x2 Solving for variable 'x'. Combine like terms: 10x2 + -10x2 = 0 30xLN + -10x2 = 0 Factor out the Greatest Common Factor (GCF), '10x'. 10x(3LN + -1x) = 0 Ignore the factor 10.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 '(3LN + -1x)' equal to zero and attempt to solve: Simplifying 3LN + -1x = 0 Solving 3LN + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3LN' to each side of the equation. 3LN + -3LN + -1x = 0 + -3LN Combine like terms: 3LN + -3LN = 0 0 + -1x = 0 + -3LN -1x = 0 + -3LN Remove the zero: -1x = -3LN Divide each side by '-1'. x = 3LN Simplifying x = 3LNSolution
x = {0, 3LN}
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