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Simplifying 4x2 + kx + 36 = 0 Reorder the terms: 36 + kx + 4x2 = 0 Solving 36 + kx + 4x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + kx + -36 + 4x2 = 0 + -36 Reorder the terms: 36 + -36 + kx + 4x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + kx + 4x2 = 0 + -36 kx + 4x2 = 0 + -36 Combine like terms: 0 + -36 = -36 kx + 4x2 = -36 Add '-4x2' to each side of the equation. kx + 4x2 + -4x2 = -36 + -4x2 Combine like terms: 4x2 + -4x2 = 0 kx + 0 = -36 + -4x2 kx = -36 + -4x2 Divide each side by 'x'. k = -36x-1 + -4x Simplifying k = -36x-1 + -4x
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