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Simplifying x2 + -14x + 15 + 20ln(x) = 3 Multiply ln * x x2 + -14x + 15 + 20lnx = 3 Reorder the terms: 15 + 20lnx + -14x + x2 = 3 Solving 15 + 20lnx + -14x + x2 = 3 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 20lnx + -14x + -15 + x2 = 3 + -15 Reorder the terms: 15 + -15 + 20lnx + -14x + x2 = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 20lnx + -14x + x2 = 3 + -15 20lnx + -14x + x2 = 3 + -15 Combine like terms: 3 + -15 = -12 20lnx + -14x + x2 = -12 Add '14x' to each side of the equation. 20lnx + -14x + 14x + x2 = -12 + 14x Combine like terms: -14x + 14x = 0 20lnx + 0 + x2 = -12 + 14x 20lnx + x2 = -12 + 14x Add '-1x2' to each side of the equation. 20lnx + x2 + -1x2 = -12 + 14x + -1x2 Combine like terms: x2 + -1x2 = 0 20lnx + 0 = -12 + 14x + -1x2 20lnx = -12 + 14x + -1x2 Divide each side by '20nx'. l = -0.6n-1x-1 + 0.7n-1 + -0.05n-1x Simplifying l = -0.6n-1x-1 + 0.7n-1 + -0.05n-1x Reorder the terms: l = 0.7n-1 + -0.6n-1x-1 + -0.05n-1x
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