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Simplifying kx2 + (4k + 2) * x + 4k + 5 = 0 Reorder the terms: kx2 + (2 + 4k) * x + 4k + 5 = 0 Reorder the terms for easier multiplication: kx2 + x(2 + 4k) + 4k + 5 = 0 kx2 + (2 * x + 4k * x) + 4k + 5 = 0 Reorder the terms: kx2 + (4kx + 2x) + 4k + 5 = 0 kx2 + (4kx + 2x) + 4k + 5 = 0 Reorder the terms: 5 + 4k + 4kx + kx2 + 2x = 0 Solving 5 + 4k + 4kx + kx2 + 2x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 4k + 4kx + kx2 + -5 + 2x = 0 + -5 Reorder the terms: 5 + -5 + 4k + 4kx + kx2 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4k + 4kx + kx2 + 2x = 0 + -5 4k + 4kx + kx2 + 2x = 0 + -5 Combine like terms: 0 + -5 = -5 4k + 4kx + kx2 + 2x = -5 Add '-2x' to each side of the equation. 4k + 4kx + kx2 + 2x + -2x = -5 + -2x Combine like terms: 2x + -2x = 0 4k + 4kx + kx2 + 0 = -5 + -2x 4k + 4kx + kx2 = -5 + -2x Reorder the terms: 5 + 4k + 4kx + kx2 + 2x = -5 + -2x + 5 + 2x Reorder the terms: 5 + 4k + 4kx + kx2 + 2x = -5 + 5 + -2x + 2x Combine like terms: -5 + 5 = 0 5 + 4k + 4kx + kx2 + 2x = 0 + -2x + 2x 5 + 4k + 4kx + kx2 + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 5 + 4k + 4kx + kx2 + 2x = 0 The solution to this equation could not be determined.
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