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