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Simplifying (2k + 2) * x2 + -4x + k = 0 Reorder the terms: (2 + 2k) * x2 + -4x + k = 0 Reorder the terms for easier multiplication: x2(2 + 2k) + -4x + k = 0 (2 * x2 + 2k * x2) + -4x + k = 0 Reorder the terms: (2kx2 + 2x2) + -4x + k = 0 (2kx2 + 2x2) + -4x + k = 0 Reorder the terms: k + 2kx2 + -4x + 2x2 = 0 Solving k + 2kx2 + -4x + 2x2 = 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. k + 2kx2 + -4x + 4x + 2x2 = 0 + 4x Combine like terms: -4x + 4x = 0 k + 2kx2 + 0 + 2x2 = 0 + 4x k + 2kx2 + 2x2 = 0 + 4x Remove the zero: k + 2kx2 + 2x2 = 4x Add '-2x2' to each side of the equation. k + 2kx2 + 2x2 + -2x2 = 4x + -2x2 Combine like terms: 2x2 + -2x2 = 0 k + 2kx2 + 0 = 4x + -2x2 k + 2kx2 = 4x + -2x2 Reorder the terms: k + 2kx2 + -4x + 2x2 = 4x + -4x + -2x2 + 2x2 Combine like terms: 4x + -4x = 0 k + 2kx2 + -4x + 2x2 = 0 + -2x2 + 2x2 k + 2kx2 + -4x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 k + 2kx2 + -4x + 2x2 = 0 The solution to this equation could not be determined.
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