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Simplifying x2(k + -12) + 2x(k + -12) + 2 = 0 Reorder the terms: x2(-12 + k) + 2x(k + -12) + 2 = 0 (-12 * x2 + k * x2) + 2x(k + -12) + 2 = 0 Reorder the terms: (kx2 + -12x2) + 2x(k + -12) + 2 = 0 (kx2 + -12x2) + 2x(k + -12) + 2 = 0 Reorder the terms: kx2 + -12x2 + 2x(-12 + k) + 2 = 0 kx2 + -12x2 + (-12 * 2x + k * 2x) + 2 = 0 Reorder the terms: kx2 + -12x2 + (2kx + -24x) + 2 = 0 kx2 + -12x2 + (2kx + -24x) + 2 = 0 Reorder the terms: 2 + 2kx + kx2 + -24x + -12x2 = 0 Solving 2 + 2kx + kx2 + -24x + -12x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2kx + kx2 + -24x + -2 + -12x2 = 0 + -2 Reorder the terms: 2 + -2 + 2kx + kx2 + -24x + -12x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2kx + kx2 + -24x + -12x2 = 0 + -2 2kx + kx2 + -24x + -12x2 = 0 + -2 Combine like terms: 0 + -2 = -2 2kx + kx2 + -24x + -12x2 = -2 Add '24x' to each side of the equation. 2kx + kx2 + -24x + 24x + -12x2 = -2 + 24x Combine like terms: -24x + 24x = 0 2kx + kx2 + 0 + -12x2 = -2 + 24x 2kx + kx2 + -12x2 = -2 + 24x Add '12x2' to each side of the equation. 2kx + kx2 + -12x2 + 12x2 = -2 + 24x + 12x2 Combine like terms: -12x2 + 12x2 = 0 2kx + kx2 + 0 = -2 + 24x + 12x2 2kx + kx2 = -2 + 24x + 12x2 Reorder the terms: 2 + 2kx + kx2 + -24x + -12x2 = -2 + 24x + 12x2 + 2 + -24x + -12x2 Reorder the terms: 2 + 2kx + kx2 + -24x + -12x2 = -2 + 2 + 24x + -24x + 12x2 + -12x2 Combine like terms: -2 + 2 = 0 2 + 2kx + kx2 + -24x + -12x2 = 0 + 24x + -24x + 12x2 + -12x2 2 + 2kx + kx2 + -24x + -12x2 = 24x + -24x + 12x2 + -12x2 Combine like terms: 24x + -24x = 0 2 + 2kx + kx2 + -24x + -12x2 = 0 + 12x2 + -12x2 2 + 2kx + kx2 + -24x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 2 + 2kx + kx2 + -24x + -12x2 = 0 The solution to this equation could not be determined.
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