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Simplifying 0 = ln(2x + 5) * ln(9x2) Reorder the terms: 0 = ln(5 + 2x) * ln(9x2) Remove parenthesis around (9x2) 0 = ln(5 + 2x) * ln * 9x2 Reorder the terms for easier multiplication: 0 = 9ln * ln * x2(5 + 2x) Multiply ln * ln 0 = 9l2n2 * x2(5 + 2x) Multiply l2n2 * x2 0 = 9l2n2x2(5 + 2x) 0 = (5 * 9l2n2x2 + 2x * 9l2n2x2) 0 = (45l2n2x2 + 18l2n2x3) Solving 0 = 45l2n2x2 + 18l2n2x3 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-45l2n2x2' to each side of the equation. 0 + -45l2n2x2 = 45l2n2x2 + -45l2n2x2 + 18l2n2x3 Remove the zero: -45l2n2x2 = 45l2n2x2 + -45l2n2x2 + 18l2n2x3 Combine like terms: 45l2n2x2 + -45l2n2x2 = 0 -45l2n2x2 = 0 + 18l2n2x3 -45l2n2x2 = 18l2n2x3 Add '-18l2n2x3' to each side of the equation. -45l2n2x2 + -18l2n2x3 = 18l2n2x3 + -18l2n2x3 Combine like terms: 18l2n2x3 + -18l2n2x3 = 0 -45l2n2x2 + -18l2n2x3 = 0 Factor out the Greatest Common Factor (GCF), '-9l2n2x2'. -9l2n2x2(5 + 2x) = 0 Ignore the factor -9.Subproblem 1
Set the factor 'l2n2x2' equal to zero and attempt to solve: Simplifying l2n2x2 = 0 Solving l2n2x2 = 0 Move all terms containing l to the left, all other terms to the right. Simplifying l2n2x2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing l to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Add '-2x' to each side of the equation. 2x + -2x = -5 + -2x Combine like terms: 2x + -2x = 0 0 = -5 + -2x Simplifying 0 = -5 + -2x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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