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Simplifying kx2 + (k + 3) * x + 4 = 0 Reorder the terms: kx2 + (3 + k) * x + 4 = 0 Reorder the terms for easier multiplication: kx2 + x(3 + k) + 4 = 0 kx2 + (3 * x + k * x) + 4 = 0 Reorder the terms: kx2 + (kx + 3x) + 4 = 0 kx2 + (kx + 3x) + 4 = 0 Reorder the terms: 4 + kx + kx2 + 3x = 0 Solving 4 + kx + kx2 + 3x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + kx + kx2 + -4 + 3x = 0 + -4 Reorder the terms: 4 + -4 + kx + kx2 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + kx + kx2 + 3x = 0 + -4 kx + kx2 + 3x = 0 + -4 Combine like terms: 0 + -4 = -4 kx + kx2 + 3x = -4 Add '-3x' to each side of the equation. kx + kx2 + 3x + -3x = -4 + -3x Combine like terms: 3x + -3x = 0 kx + kx2 + 0 = -4 + -3x kx + kx2 = -4 + -3x Reorder the terms: 4 + kx + kx2 + 3x = -4 + -3x + 4 + 3x Reorder the terms: 4 + kx + kx2 + 3x = -4 + 4 + -3x + 3x Combine like terms: -4 + 4 = 0 4 + kx + kx2 + 3x = 0 + -3x + 3x 4 + kx + kx2 + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 4 + kx + kx2 + 3x = 0 The solution to this equation could not be determined.
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