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Simplifying kx2 + -2(k + -1s) * x + (2k + -1) = 0 Reorder the terms for easier multiplication: kx2 + -2x(k + -1s) + (2k + -1) = 0 kx2 + (k * -2x + -1s * -2x) + (2k + -1) = 0 kx2 + (-2kx + 2sx) + (2k + -1) = 0 Reorder the terms: kx2 + -2kx + 2sx + (-1 + 2k) = 0 Remove parenthesis around (-1 + 2k) kx2 + -2kx + 2sx + -1 + 2k = 0 Reorder the terms: -1 + 2k + -2kx + kx2 + 2sx = 0 Solving -1 + 2k + -2kx + kx2 + 2sx = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2k + -2kx + kx2 + 1 + 2sx = 0 + 1 Reorder the terms: -1 + 1 + 2k + -2kx + kx2 + 2sx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2k + -2kx + kx2 + 2sx = 0 + 1 2k + -2kx + kx2 + 2sx = 0 + 1 Combine like terms: 0 + 1 = 1 2k + -2kx + kx2 + 2sx = 1 Add '-2sx' to each side of the equation. 2k + -2kx + kx2 + 2sx + -2sx = 1 + -2sx Combine like terms: 2sx + -2sx = 0 2k + -2kx + kx2 + 0 = 1 + -2sx 2k + -2kx + kx2 = 1 + -2sx Reorder the terms: -1 + 2k + -2kx + kx2 + 2sx = 1 + -2sx + -1 + 2sx Reorder the terms: -1 + 2k + -2kx + kx2 + 2sx = 1 + -1 + -2sx + 2sx Combine like terms: 1 + -1 = 0 -1 + 2k + -2kx + kx2 + 2sx = 0 + -2sx + 2sx -1 + 2k + -2kx + kx2 + 2sx = -2sx + 2sx Combine like terms: -2sx + 2sx = 0 -1 + 2k + -2kx + kx2 + 2sx = 0 The solution to this equation could not be determined.
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