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Simplifying 9x2 + -7x + 4k = 0 Reorder the terms: 4k + -7x + 9x2 = 0 Solving 4k + -7x + 9x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7x' to each side of the equation. 4k + -7x + 7x + 9x2 = 0 + 7x Combine like terms: -7x + 7x = 0 4k + 0 + 9x2 = 0 + 7x 4k + 9x2 = 0 + 7x Remove the zero: 4k + 9x2 = 7x Add '-9x2' to each side of the equation. 4k + 9x2 + -9x2 = 7x + -9x2 Combine like terms: 9x2 + -9x2 = 0 4k + 0 = 7x + -9x2 4k = 7x + -9x2 Divide each side by '4'. k = 1.75x + -2.25x2 Simplifying k = 1.75x + -2.25x2
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