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