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Simplifying 9x2 + 2kx + -1 = 0 Reorder the terms: -1 + 2kx + 9x2 = 0 Solving -1 + 2kx + 9x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2kx + 1 + 9x2 = 0 + 1 Reorder the terms: -1 + 1 + 2kx + 9x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2kx + 9x2 = 0 + 1 2kx + 9x2 = 0 + 1 Combine like terms: 0 + 1 = 1 2kx + 9x2 = 1 Add '-9x2' to each side of the equation. 2kx + 9x2 + -9x2 = 1 + -9x2 Combine like terms: 9x2 + -9x2 = 0 2kx + 0 = 1 + -9x2 2kx = 1 + -9x2 Divide each side by '2x'. k = 0.5x-1 + -4.5x Simplifying k = 0.5x-1 + -4.5x
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