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Simplifying 4x2 + kx + 49 = 0 Reorder the terms: 49 + kx + 4x2 = 0 Solving 49 + kx + 4x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + kx + -49 + 4x2 = 0 + -49 Reorder the terms: 49 + -49 + kx + 4x2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + kx + 4x2 = 0 + -49 kx + 4x2 = 0 + -49 Combine like terms: 0 + -49 = -49 kx + 4x2 = -49 Add '-4x2' to each side of the equation. kx + 4x2 + -4x2 = -49 + -4x2 Combine like terms: 4x2 + -4x2 = 0 kx + 0 = -49 + -4x2 kx = -49 + -4x2 Divide each side by 'x'. k = -49x-1 + -4x Simplifying k = -49x-1 + -4x
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