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Simplifying Kx2 + 2(3 + -1k) * x + -12 = 0 Reorder the terms for easier multiplication: x2K + 2x(3 + -1k) + -12 = 0 x2K + (3 * 2x + -1k * 2x) + -12 = 0 Reorder the terms: x2K + (-2kx + 6x) + -12 = 0 x2K + (-2kx + 6x) + -12 = 0 Reorder the terms: -12 + -2kx + 6x + x2K = 0 Solving -12 + -2kx + 6x + x2K = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -2kx + 6x + 12 + x2K = 0 + 12 Reorder the terms: -12 + 12 + -2kx + 6x + x2K = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -2kx + 6x + x2K = 0 + 12 -2kx + 6x + x2K = 0 + 12 Combine like terms: 0 + 12 = 12 -2kx + 6x + x2K = 12 Add '-6x' to each side of the equation. -2kx + 6x + -6x + x2K = 12 + -6x Combine like terms: 6x + -6x = 0 -2kx + 0 + x2K = 12 + -6x -2kx + x2K = 12 + -6x Add '-1x2K' to each side of the equation. -2kx + x2K + -1x2K = 12 + -6x + -1x2K Combine like terms: x2K + -1x2K = 0 -2kx + 0 = 12 + -6x + -1x2K -2kx = 12 + -6x + -1x2K Divide each side by '-2x'. k = -6x-1 + 3 + 0.5xK Simplifying k = -6x-1 + 3 + 0.5xK Reorder the terms: k = 3 + -6x-1 + 0.5xK
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