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Simplifying 3(k + 2) * x2 + (k + 5) * x + k = 0 Reorder the terms: 3(2 + k) * x2 + (k + 5) * x + k = 0 Reorder the terms for easier multiplication: 3x2(2 + k) + (k + 5) * x + k = 0 (2 * 3x2 + k * 3x2) + (k + 5) * x + k = 0 Reorder the terms: (3kx2 + 6x2) + (k + 5) * x + k = 0 (3kx2 + 6x2) + (k + 5) * x + k = 0 Reorder the terms: 3kx2 + 6x2 + (5 + k) * x + k = 0 Reorder the terms for easier multiplication: 3kx2 + 6x2 + x(5 + k) + k = 0 3kx2 + 6x2 + (5 * x + k * x) + k = 0 Reorder the terms: 3kx2 + 6x2 + (kx + 5x) + k = 0 3kx2 + 6x2 + (kx + 5x) + k = 0 Reorder the terms: k + kx + 3kx2 + 5x + 6x2 = 0 Solving k + kx + 3kx2 + 5x + 6x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5x' to each side of the equation. k + kx + 3kx2 + 5x + -5x + 6x2 = 0 + -5x Combine like terms: 5x + -5x = 0 k + kx + 3kx2 + 0 + 6x2 = 0 + -5x k + kx + 3kx2 + 6x2 = 0 + -5x Remove the zero: k + kx + 3kx2 + 6x2 = -5x Add '-6x2' to each side of the equation. k + kx + 3kx2 + 6x2 + -6x2 = -5x + -6x2 Combine like terms: 6x2 + -6x2 = 0 k + kx + 3kx2 + 0 = -5x + -6x2 k + kx + 3kx2 = -5x + -6x2 Reorder the terms: k + kx + 3kx2 + 5x + 6x2 = -5x + 5x + -6x2 + 6x2 Combine like terms: -5x + 5x = 0 k + kx + 3kx2 + 5x + 6x2 = 0 + -6x2 + 6x2 k + kx + 3kx2 + 5x + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 k + kx + 3kx2 + 5x + 6x2 = 0 The solution to this equation could not be determined.
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