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Simplifying 3x2 + -2(3k + 2) * x + 8k = 0 Reorder the terms: 3x2 + -2(2 + 3k) * x + 8k = 0 Reorder the terms for easier multiplication: 3x2 + -2x(2 + 3k) + 8k = 0 3x2 + (2 * -2x + 3k * -2x) + 8k = 0 Reorder the terms: 3x2 + (-6kx + -4x) + 8k = 0 3x2 + (-6kx + -4x) + 8k = 0 Reorder the terms: 8k + -6kx + -4x + 3x2 = 0 Solving 8k + -6kx + -4x + 3x2 = 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. 8k + -6kx + -4x + 4x + 3x2 = 0 + 4x Combine like terms: -4x + 4x = 0 8k + -6kx + 0 + 3x2 = 0 + 4x 8k + -6kx + 3x2 = 0 + 4x Remove the zero: 8k + -6kx + 3x2 = 4x Add '-3x2' to each side of the equation. 8k + -6kx + 3x2 + -3x2 = 4x + -3x2 Combine like terms: 3x2 + -3x2 = 0 8k + -6kx + 0 = 4x + -3x2 8k + -6kx = 4x + -3x2 Reorder the terms: 8k + -6kx + -4x + 3x2 = 4x + -4x + -3x2 + 3x2 Combine like terms: 4x + -4x = 0 8k + -6kx + -4x + 3x2 = 0 + -3x2 + 3x2 8k + -6kx + -4x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 8k + -6kx + -4x + 3x2 = 0 The solution to this equation could not be determined.
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