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Simplifying -0.25x3 + 8x2 + ln(x + -3) = 0 Reorder the terms: -0.25x3 + 8x2 + ln(-3 + x) = 0 -0.25x3 + 8x2 + (-3 * ln + x * ln) = 0 -0.25x3 + 8x2 + (-3ln + lnx) = 0 Reorder the terms: -3ln + lnx + 8x2 + -0.25x3 = 0 Solving -3ln + lnx + 8x2 + -0.25x3 = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-8x2' to each side of the equation. -3ln + lnx + 8x2 + -8x2 + -0.25x3 = 0 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -3ln + lnx + 0 + -0.25x3 = 0 + -8x2 -3ln + lnx + -0.25x3 = 0 + -8x2 Remove the zero: -3ln + lnx + -0.25x3 = -8x2 Add '0.25x3' to each side of the equation. -3ln + lnx + -0.25x3 + 0.25x3 = -8x2 + 0.25x3 Combine like terms: -0.25x3 + 0.25x3 = 0.00 -3ln + lnx + 0.00 = -8x2 + 0.25x3 -3ln + lnx = -8x2 + 0.25x3 Reorder the terms: -3ln + lnx + 8x2 + -0.25x3 = -8x2 + 8x2 + 0.25x3 + -0.25x3 Combine like terms: -8x2 + 8x2 = 0 -3ln + lnx + 8x2 + -0.25x3 = 0 + 0.25x3 + -0.25x3 -3ln + lnx + 8x2 + -0.25x3 = 0.25x3 + -0.25x3 Combine like terms: 0.25x3 + -0.25x3 = 0.00 -3ln + lnx + 8x2 + -0.25x3 = 0.00 The solution to this equation could not be determined.
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