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Simplifying (k + 2) * x2 + -4x + -5 = 0 Reorder the terms: (2 + k) * x2 + -4x + -5 = 0 Reorder the terms for easier multiplication: x2(2 + k) + -4x + -5 = 0 (2 * x2 + k * x2) + -4x + -5 = 0 Reorder the terms: (kx2 + 2x2) + -4x + -5 = 0 (kx2 + 2x2) + -4x + -5 = 0 Reorder the terms: -5 + kx2 + -4x + 2x2 = 0 Solving -5 + kx2 + -4x + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + kx2 + -4x + 5 + 2x2 = 0 + 5 Reorder the terms: -5 + 5 + kx2 + -4x + 2x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + kx2 + -4x + 2x2 = 0 + 5 kx2 + -4x + 2x2 = 0 + 5 Combine like terms: 0 + 5 = 5 kx2 + -4x + 2x2 = 5 Add '4x' to each side of the equation. kx2 + -4x + 4x + 2x2 = 5 + 4x Combine like terms: -4x + 4x = 0 kx2 + 0 + 2x2 = 5 + 4x kx2 + 2x2 = 5 + 4x Add '-2x2' to each side of the equation. kx2 + 2x2 + -2x2 = 5 + 4x + -2x2 Combine like terms: 2x2 + -2x2 = 0 kx2 + 0 = 5 + 4x + -2x2 kx2 = 5 + 4x + -2x2 Divide each side by 'x2'. k = 5x-2 + 4x-1 + -2 Simplifying k = 5x-2 + 4x-1 + -2 Reorder the terms: k = -2 + 5x-2 + 4x-1
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