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Simplifying 4x2 + 9kx + 1 = 0 Reorder the terms: 1 + 9kx + 4x2 = 0 Solving 1 + 9kx + 4x2 = 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 + 9kx + -1 + 4x2 = 0 + -1 Reorder the terms: 1 + -1 + 9kx + 4x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9kx + 4x2 = 0 + -1 9kx + 4x2 = 0 + -1 Combine like terms: 0 + -1 = -1 9kx + 4x2 = -1 Add '-4x2' to each side of the equation. 9kx + 4x2 + -4x2 = -1 + -4x2 Combine like terms: 4x2 + -4x2 = 0 9kx + 0 = -1 + -4x2 9kx = -1 + -4x2 Divide each side by '9x'. k = -0.1111111111x-1 + -0.4444444444x Simplifying k = -0.1111111111x-1 + -0.4444444444x
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