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Simplifying 3x2 + 25x + 15 + 5k = 0 Reorder the terms: 15 + 5k + 25x + 3x2 = 0 Solving 15 + 5k + 25x + 3x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 5k + 25x + -15 + 3x2 = 0 + -15 Reorder the terms: 15 + -15 + 5k + 25x + 3x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 5k + 25x + 3x2 = 0 + -15 5k + 25x + 3x2 = 0 + -15 Combine like terms: 0 + -15 = -15 5k + 25x + 3x2 = -15 Add '-25x' to each side of the equation. 5k + 25x + -25x + 3x2 = -15 + -25x Combine like terms: 25x + -25x = 0 5k + 0 + 3x2 = -15 + -25x 5k + 3x2 = -15 + -25x Add '-3x2' to each side of the equation. 5k + 3x2 + -3x2 = -15 + -25x + -3x2 Combine like terms: 3x2 + -3x2 = 0 5k + 0 = -15 + -25x + -3x2 5k = -15 + -25x + -3x2 Divide each side by '5'. k = -3 + -5x + -0.6x2 Simplifying k = -3 + -5x + -0.6x2
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