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Simplifying x2 + -1(9 + k) * x + 12k = 0 Reorder the terms for easier multiplication: x2 + -1x(9 + k) + 12k = 0 x2 + (9 * -1x + k * -1x) + 12k = 0 Reorder the terms: x2 + (-1kx + -9x) + 12k = 0 x2 + (-1kx + -9x) + 12k = 0 Reorder the terms: 12k + -1kx + -9x + x2 = 0 Solving 12k + -1kx + -9x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9x' to each side of the equation. 12k + -1kx + -9x + 9x + x2 = 0 + 9x Combine like terms: -9x + 9x = 0 12k + -1kx + 0 + x2 = 0 + 9x 12k + -1kx + x2 = 0 + 9x Remove the zero: 12k + -1kx + x2 = 9x Add '-1x2' to each side of the equation. 12k + -1kx + x2 + -1x2 = 9x + -1x2 Combine like terms: x2 + -1x2 = 0 12k + -1kx + 0 = 9x + -1x2 12k + -1kx = 9x + -1x2 Reorder the terms: 12k + -1kx + -9x + x2 = 9x + -9x + -1x2 + x2 Combine like terms: 9x + -9x = 0 12k + -1kx + -9x + x2 = 0 + -1x2 + x2 12k + -1kx + -9x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 12k + -1kx + -9x + x2 = 0 The solution to this equation could not be determined.
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