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Simplifying 2x2 + kx2 + -2kx + -16 = 0 Reorder the terms: -16 + -2kx + kx2 + 2x2 = 0 Solving -16 + -2kx + kx2 + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16' to each side of the equation. -16 + -2kx + kx2 + 16 + 2x2 = 0 + 16 Reorder the terms: -16 + 16 + -2kx + kx2 + 2x2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -2kx + kx2 + 2x2 = 0 + 16 -2kx + kx2 + 2x2 = 0 + 16 Combine like terms: 0 + 16 = 16 -2kx + kx2 + 2x2 = 16 Add '-2x2' to each side of the equation. -2kx + kx2 + 2x2 + -2x2 = 16 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -2kx + kx2 + 0 = 16 + -2x2 -2kx + kx2 = 16 + -2x2 Reorder the terms: -16 + -2kx + kx2 + 2x2 = 16 + -2x2 + -16 + 2x2 Reorder the terms: -16 + -2kx + kx2 + 2x2 = 16 + -16 + -2x2 + 2x2 Combine like terms: 16 + -16 = 0 -16 + -2kx + kx2 + 2x2 = 0 + -2x2 + 2x2 -16 + -2kx + kx2 + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -16 + -2kx + kx2 + 2x2 = 0 The solution to this equation could not be determined.
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