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Simplifying (k + 1) * x2 + -4x + 3 = 0 Reorder the terms: (1 + k) * x2 + -4x + 3 = 0 Reorder the terms for easier multiplication: x2(1 + k) + -4x + 3 = 0 (1 * x2 + k * x2) + -4x + 3 = 0 Reorder the terms: (kx2 + 1x2) + -4x + 3 = 0 (kx2 + 1x2) + -4x + 3 = 0 Reorder the terms: 3 + kx2 + -4x + 1x2 = 0 Solving 3 + kx2 + -4x + 1x2 = 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 + -4x + -3 + 1x2 = 0 + -3 Reorder the terms: 3 + -3 + kx2 + -4x + 1x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + kx2 + -4x + 1x2 = 0 + -3 kx2 + -4x + 1x2 = 0 + -3 Combine like terms: 0 + -3 = -3 kx2 + -4x + 1x2 = -3 Add '4x' to each side of the equation. kx2 + -4x + 4x + 1x2 = -3 + 4x Combine like terms: -4x + 4x = 0 kx2 + 0 + 1x2 = -3 + 4x kx2 + 1x2 = -3 + 4x Add '-1x2' to each side of the equation. kx2 + 1x2 + -1x2 = -3 + 4x + -1x2 Combine like terms: 1x2 + -1x2 = 0 kx2 + 0 = -3 + 4x + -1x2 kx2 = -3 + 4x + -1x2 Divide each side by 'x2'. k = -3x-2 + 4x-1 + -1 Simplifying k = -3x-2 + 4x-1 + -1 Reorder the terms: k = -1 + -3x-2 + 4x-1
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