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Simplifying 9x2 + 3kx + 64 = 0 Reorder the terms: 64 + 3kx + 9x2 = 0 Solving 64 + 3kx + 9x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + 3kx + -64 + 9x2 = 0 + -64 Reorder the terms: 64 + -64 + 3kx + 9x2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 3kx + 9x2 = 0 + -64 3kx + 9x2 = 0 + -64 Combine like terms: 0 + -64 = -64 3kx + 9x2 = -64 Add '-9x2' to each side of the equation. 3kx + 9x2 + -9x2 = -64 + -9x2 Combine like terms: 9x2 + -9x2 = 0 3kx + 0 = -64 + -9x2 3kx = -64 + -9x2 Divide each side by '3x'. k = -21.33333333x-1 + -3x Simplifying k = -21.33333333x-1 + -3x
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