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Simplifying (k + 4) * x3 + (k + 1) * x2 + -3 = 0 Reorder the terms: (4 + k) * x3 + (k + 1) * x2 + -3 = 0 Reorder the terms for easier multiplication: x3(4 + k) + (k + 1) * x2 + -3 = 0 (4 * x3 + k * x3) + (k + 1) * x2 + -3 = 0 Reorder the terms: (kx3 + 4x3) + (k + 1) * x2 + -3 = 0 (kx3 + 4x3) + (k + 1) * x2 + -3 = 0 Reorder the terms: kx3 + 4x3 + (1 + k) * x2 + -3 = 0 Reorder the terms for easier multiplication: kx3 + 4x3 + x2(1 + k) + -3 = 0 kx3 + 4x3 + (1 * x2 + k * x2) + -3 = 0 Reorder the terms: kx3 + 4x3 + (kx2 + 1x2) + -3 = 0 kx3 + 4x3 + (kx2 + 1x2) + -3 = 0 Reorder the terms: -3 + kx2 + kx3 + 1x2 + 4x3 = 0 Solving -3 + kx2 + kx3 + 1x2 + 4x3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + kx2 + kx3 + 1x2 + 3 + 4x3 = 0 + 3 Reorder the terms: -3 + 3 + kx2 + kx3 + 1x2 + 4x3 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + kx2 + kx3 + 1x2 + 4x3 = 0 + 3 kx2 + kx3 + 1x2 + 4x3 = 0 + 3 Combine like terms: 0 + 3 = 3 kx2 + kx3 + 1x2 + 4x3 = 3 Add '-1x2' to each side of the equation. kx2 + kx3 + 1x2 + -1x2 + 4x3 = 3 + -1x2 Combine like terms: 1x2 + -1x2 = 0 kx2 + kx3 + 0 + 4x3 = 3 + -1x2 kx2 + kx3 + 4x3 = 3 + -1x2 Add '-4x3' to each side of the equation. kx2 + kx3 + 4x3 + -4x3 = 3 + -1x2 + -4x3 Combine like terms: 4x3 + -4x3 = 0 kx2 + kx3 + 0 = 3 + -1x2 + -4x3 kx2 + kx3 = 3 + -1x2 + -4x3 Reorder the terms: -3 + kx2 + kx3 + x2 + 4x3 = 3 + -1x2 + -4x3 + -3 + x2 + 4x3 Reorder the terms: -3 + kx2 + kx3 + x2 + 4x3 = 3 + -3 + -1x2 + x2 + -4x3 + 4x3 Combine like terms: 3 + -3 = 0 -3 + kx2 + kx3 + x2 + 4x3 = 0 + -1x2 + x2 + -4x3 + 4x3 -3 + kx2 + kx3 + x2 + 4x3 = -1x2 + x2 + -4x3 + 4x3 Combine like terms: -1x2 + x2 = 0 -3 + kx2 + kx3 + x2 + 4x3 = 0 + -4x3 + 4x3 -3 + kx2 + kx3 + x2 + 4x3 = -4x3 + 4x3 Combine like terms: -4x3 + 4x3 = 0 -3 + kx2 + kx3 + x2 + 4x3 = 0 The solution to this equation could not be determined.
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