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Simplifying x2 + -1(4 + k) * x + 9 = 0 Reorder the terms for easier multiplication: x2 + -1x(4 + k) + 9 = 0 x2 + (4 * -1x + k * -1x) + 9 = 0 Reorder the terms: x2 + (-1kx + -4x) + 9 = 0 x2 + (-1kx + -4x) + 9 = 0 Reorder the terms: 9 + -1kx + -4x + x2 = 0 Solving 9 + -1kx + -4x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -1kx + -4x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -1kx + -4x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1kx + -4x + x2 = 0 + -9 -1kx + -4x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -1kx + -4x + x2 = -9 Add '4x' to each side of the equation. -1kx + -4x + 4x + x2 = -9 + 4x Combine like terms: -4x + 4x = 0 -1kx + 0 + x2 = -9 + 4x -1kx + x2 = -9 + 4x Add '-1x2' to each side of the equation. -1kx + x2 + -1x2 = -9 + 4x + -1x2 Combine like terms: x2 + -1x2 = 0 -1kx + 0 = -9 + 4x + -1x2 -1kx = -9 + 4x + -1x2 Divide each side by '-1x'. k = 9x-1 + -4 + x Simplifying k = 9x-1 + -4 + x Reorder the terms: k = -4 + 9x-1 + x
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