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Simplifying Lg(1 + kx2) + -1kx + 1 = 0 (1 * gL + kx2 * gL) + -1kx + 1 = 0 (1gL + gkx2L) + -1kx + 1 = 0 Reorder the terms: 1 + 1gL + gkx2L + -1kx = 0 Solving 1 + 1gL + gkx2L + -1kx = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 1gL + gkx2L + -1 + -1kx = 0 + -1 Reorder the terms: 1 + -1 + 1gL + gkx2L + -1kx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1gL + gkx2L + -1kx = 0 + -1 1gL + gkx2L + -1kx = 0 + -1 Combine like terms: 0 + -1 = -1 1gL + gkx2L + -1kx = -1 Add 'kx' to each side of the equation. 1gL + gkx2L + -1kx + kx = -1 + kx Combine like terms: -1kx + kx = 0 1gL + gkx2L + 0 = -1 + kx 1gL + gkx2L = -1 + kx Reorder the terms: 1 + 1gL + gkx2L + -1kx = -1 + kx + 1 + -1kx Reorder the terms: 1 + 1gL + gkx2L + -1kx = -1 + 1 + kx + -1kx Combine like terms: -1 + 1 = 0 1 + 1gL + gkx2L + -1kx = 0 + kx + -1kx 1 + 1gL + gkx2L + -1kx = kx + -1kx Combine like terms: kx + -1kx = 0 1 + 1gL + gkx2L + -1kx = 0 The solution to this equation could not be determined.
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