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Simplifying 9x2 + -2x + 3k = 0 Reorder the terms: 3k + -2x + 9x2 = 0 Solving 3k + -2x + 9x2 = 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. 3k + -2x + 2x + 9x2 = 0 + 2x Combine like terms: -2x + 2x = 0 3k + 0 + 9x2 = 0 + 2x 3k + 9x2 = 0 + 2x Remove the zero: 3k + 9x2 = 2x Add '-9x2' to each side of the equation. 3k + 9x2 + -9x2 = 2x + -9x2 Combine like terms: 9x2 + -9x2 = 0 3k + 0 = 2x + -9x2 3k = 2x + -9x2 Divide each side by '3'. k = 0.6666666667x + -3x2 Simplifying k = 0.6666666667x + -3x2
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