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Simplifying 3x2 + -2x + 5k = 0 Reorder the terms: 5k + -2x + 3x2 = 0 Solving 5k + -2x + 3x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2x' to each side of the equation. 5k + -2x + 2x + 3x2 = 0 + 2x Combine like terms: -2x + 2x = 0 5k + 0 + 3x2 = 0 + 2x 5k + 3x2 = 0 + 2x Remove the zero: 5k + 3x2 = 2x Add '-3x2' to each side of the equation. 5k + 3x2 + -3x2 = 2x + -3x2 Combine like terms: 3x2 + -3x2 = 0 5k + 0 = 2x + -3x2 5k = 2x + -3x2 Divide each side by '5'. k = 0.4x + -0.6x2 Simplifying k = 0.4x + -0.6x2
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