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Simplifying 3x2 + -5x + 4k + -5 = 0 Reorder the terms: -5 + 4k + -5x + 3x2 = 0 Solving -5 + 4k + -5x + 3x2 = 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 + 4k + -5x + 5 + 3x2 = 0 + 5 Reorder the terms: -5 + 5 + 4k + -5x + 3x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4k + -5x + 3x2 = 0 + 5 4k + -5x + 3x2 = 0 + 5 Combine like terms: 0 + 5 = 5 4k + -5x + 3x2 = 5 Add '5x' to each side of the equation. 4k + -5x + 5x + 3x2 = 5 + 5x Combine like terms: -5x + 5x = 0 4k + 0 + 3x2 = 5 + 5x 4k + 3x2 = 5 + 5x Add '-3x2' to each side of the equation. 4k + 3x2 + -3x2 = 5 + 5x + -3x2 Combine like terms: 3x2 + -3x2 = 0 4k + 0 = 5 + 5x + -3x2 4k = 5 + 5x + -3x2 Divide each side by '4'. k = 1.25 + 1.25x + -0.75x2 Simplifying k = 1.25 + 1.25x + -0.75x2
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