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Simplifying 4x2 + 2kx + 9 = 0 Reorder the terms: 9 + 2kx + 4x2 = 0 Solving 9 + 2kx + 4x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 2kx + -9 + 4x2 = 0 + -9 Reorder the terms: 9 + -9 + 2kx + 4x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2kx + 4x2 = 0 + -9 2kx + 4x2 = 0 + -9 Combine like terms: 0 + -9 = -9 2kx + 4x2 = -9 Add '-4x2' to each side of the equation. 2kx + 4x2 + -4x2 = -9 + -4x2 Combine like terms: 4x2 + -4x2 = 0 2kx + 0 = -9 + -4x2 2kx = -9 + -4x2 Divide each side by '2x'. k = -4.5x-1 + -2x Simplifying k = -4.5x-1 + -2x
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