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Simplifying 2x2 + -5x + 4(k + -2) = 0 Reorder the terms: 2x2 + -5x + 4(-2 + k) = 0 2x2 + -5x + (-2 * 4 + k * 4) = 0 2x2 + -5x + (-8 + 4k) = 0 Reorder the terms: -8 + 4k + -5x + 2x2 = 0 Solving -8 + 4k + -5x + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 4k + -5x + 8 + 2x2 = 0 + 8 Reorder the terms: -8 + 8 + 4k + -5x + 2x2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4k + -5x + 2x2 = 0 + 8 4k + -5x + 2x2 = 0 + 8 Combine like terms: 0 + 8 = 8 4k + -5x + 2x2 = 8 Add '5x' to each side of the equation. 4k + -5x + 5x + 2x2 = 8 + 5x Combine like terms: -5x + 5x = 0 4k + 0 + 2x2 = 8 + 5x 4k + 2x2 = 8 + 5x Add '-2x2' to each side of the equation. 4k + 2x2 + -2x2 = 8 + 5x + -2x2 Combine like terms: 2x2 + -2x2 = 0 4k + 0 = 8 + 5x + -2x2 4k = 8 + 5x + -2x2 Divide each side by '4'. k = 2 + 1.25x + -0.5x2 Simplifying k = 2 + 1.25x + -0.5x2
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