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Simplifying 1x2 + -1(k + 4) * x + (k + 7) = 0 Reorder the terms: 1x2 + -1(4 + k) * x + (k + 7) = 0 Reorder the terms for easier multiplication: 1x2 + -1x(4 + k) + (k + 7) = 0 1x2 + (4 * -1x + k * -1x) + (k + 7) = 0 Reorder the terms: 1x2 + (-1kx + -4x) + (k + 7) = 0 1x2 + (-1kx + -4x) + (k + 7) = 0 Reorder the terms: 1x2 + -1kx + -4x + (7 + k) = 0 Remove parenthesis around (7 + k) 1x2 + -1kx + -4x + 7 + k = 0 Reorder the terms: 7 + k + -1kx + -4x + 1x2 = 0 Solving 7 + k + -1kx + -4x + 1x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + k + -1kx + -4x + -7 + 1x2 = 0 + -7 Reorder the terms: 7 + -7 + k + -1kx + -4x + 1x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + k + -1kx + -4x + 1x2 = 0 + -7 k + -1kx + -4x + 1x2 = 0 + -7 Combine like terms: 0 + -7 = -7 k + -1kx + -4x + 1x2 = -7 Add '4x' to each side of the equation. k + -1kx + -4x + 4x + 1x2 = -7 + 4x Combine like terms: -4x + 4x = 0 k + -1kx + 0 + 1x2 = -7 + 4x k + -1kx + 1x2 = -7 + 4x Add '-1x2' to each side of the equation. k + -1kx + 1x2 + -1x2 = -7 + 4x + -1x2 Combine like terms: 1x2 + -1x2 = 0 k + -1kx + 0 = -7 + 4x + -1x2 k + -1kx = -7 + 4x + -1x2 Reorder the terms: 7 + k + -1kx + -4x + x2 = -7 + 4x + -1x2 + 7 + -4x + x2 Reorder the terms: 7 + k + -1kx + -4x + x2 = -7 + 7 + 4x + -4x + -1x2 + x2 Combine like terms: -7 + 7 = 0 7 + k + -1kx + -4x + x2 = 0 + 4x + -4x + -1x2 + x2 7 + k + -1kx + -4x + x2 = 4x + -4x + -1x2 + x2 Combine like terms: 4x + -4x = 0 7 + k + -1kx + -4x + x2 = 0 + -1x2 + x2 7 + k + -1kx + -4x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 7 + k + -1kx + -4x + x2 = 0 The solution to this equation could not be determined.
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