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Simplifying (k + 2) * x2 + -6x + 5 = 0 Reorder the terms: (2 + k) * x2 + -6x + 5 = 0 Reorder the terms for easier multiplication: x2(2 + k) + -6x + 5 = 0 (2 * x2 + k * x2) + -6x + 5 = 0 Reorder the terms: (kx2 + 2x2) + -6x + 5 = 0 (kx2 + 2x2) + -6x + 5 = 0 Reorder the terms: 5 + kx2 + -6x + 2x2 = 0 Solving 5 + kx2 + -6x + 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 + -6x + -5 + 2x2 = 0 + -5 Reorder the terms: 5 + -5 + kx2 + -6x + 2x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + kx2 + -6x + 2x2 = 0 + -5 kx2 + -6x + 2x2 = 0 + -5 Combine like terms: 0 + -5 = -5 kx2 + -6x + 2x2 = -5 Add '6x' to each side of the equation. kx2 + -6x + 6x + 2x2 = -5 + 6x Combine like terms: -6x + 6x = 0 kx2 + 0 + 2x2 = -5 + 6x kx2 + 2x2 = -5 + 6x Add '-2x2' to each side of the equation. kx2 + 2x2 + -2x2 = -5 + 6x + -2x2 Combine like terms: 2x2 + -2x2 = 0 kx2 + 0 = -5 + 6x + -2x2 kx2 = -5 + 6x + -2x2 Divide each side by 'x2'. k = -5x-2 + 6x-1 + -2 Simplifying k = -5x-2 + 6x-1 + -2 Reorder the terms: k = -2 + -5x-2 + 6x-1
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