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Simplifying 2x2 + 2kx + 7 = 0 Reorder the terms: 7 + 2kx + 2x2 = 0 Solving 7 + 2kx + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 2kx + -7 + 2x2 = 0 + -7 Reorder the terms: 7 + -7 + 2kx + 2x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2kx + 2x2 = 0 + -7 2kx + 2x2 = 0 + -7 Combine like terms: 0 + -7 = -7 2kx + 2x2 = -7 Add '-2x2' to each side of the equation. 2kx + 2x2 + -2x2 = -7 + -2x2 Combine like terms: 2x2 + -2x2 = 0 2kx + 0 = -7 + -2x2 2kx = -7 + -2x2 Divide each side by '2x'. k = -3.5x-1 + -1x Simplifying k = -3.5x-1 + -1x
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