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Simplifying x2 + 2(k + 2) * x + 9k = 0 Reorder the terms: x2 + 2(2 + k) * x + 9k = 0 Reorder the terms for easier multiplication: x2 + 2x(2 + k) + 9k = 0 x2 + (2 * 2x + k * 2x) + 9k = 0 Reorder the terms: x2 + (2kx + 4x) + 9k = 0 x2 + (2kx + 4x) + 9k = 0 Reorder the terms: 9k + 2kx + 4x + x2 = 0 Solving 9k + 2kx + 4x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4x' to each side of the equation. 9k + 2kx + 4x + -4x + x2 = 0 + -4x Combine like terms: 4x + -4x = 0 9k + 2kx + 0 + x2 = 0 + -4x 9k + 2kx + x2 = 0 + -4x Remove the zero: 9k + 2kx + x2 = -4x Add '-1x2' to each side of the equation. 9k + 2kx + x2 + -1x2 = -4x + -1x2 Combine like terms: x2 + -1x2 = 0 9k + 2kx + 0 = -4x + -1x2 9k + 2kx = -4x + -1x2 Reorder the terms: 9k + 2kx + 4x + x2 = -4x + 4x + -1x2 + x2 Combine like terms: -4x + 4x = 0 9k + 2kx + 4x + x2 = 0 + -1x2 + x2 9k + 2kx + 4x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 9k + 2kx + 4x + x2 = 0 The solution to this equation could not be determined.
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