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Simplifying 9x2 + 8kx + 16 = 0 Reorder the terms: 16 + 8kx + 9x2 = 0 Solving 16 + 8kx + 9x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 8kx + -16 + 9x2 = 0 + -16 Reorder the terms: 16 + -16 + 8kx + 9x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 8kx + 9x2 = 0 + -16 8kx + 9x2 = 0 + -16 Combine like terms: 0 + -16 = -16 8kx + 9x2 = -16 Add '-9x2' to each side of the equation. 8kx + 9x2 + -9x2 = -16 + -9x2 Combine like terms: 9x2 + -9x2 = 0 8kx + 0 = -16 + -9x2 8kx = -16 + -9x2 Divide each side by '8x'. k = -2x-1 + -1.125x Simplifying k = -2x-1 + -1.125x
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