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