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Simplifying 2x2 + -52x + -4kx + 18 = 0 Reorder the terms: 18 + -4kx + -52x + 2x2 = 0 Solving 18 + -4kx + -52x + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -4kx + -52x + -18 + 2x2 = 0 + -18 Reorder the terms: 18 + -18 + -4kx + -52x + 2x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -4kx + -52x + 2x2 = 0 + -18 -4kx + -52x + 2x2 = 0 + -18 Combine like terms: 0 + -18 = -18 -4kx + -52x + 2x2 = -18 Add '52x' to each side of the equation. -4kx + -52x + 52x + 2x2 = -18 + 52x Combine like terms: -52x + 52x = 0 -4kx + 0 + 2x2 = -18 + 52x -4kx + 2x2 = -18 + 52x Add '-2x2' to each side of the equation. -4kx + 2x2 + -2x2 = -18 + 52x + -2x2 Combine like terms: 2x2 + -2x2 = 0 -4kx + 0 = -18 + 52x + -2x2 -4kx = -18 + 52x + -2x2 Divide each side by '-4x'. k = 4.5x-1 + -13 + 0.5x Simplifying k = 4.5x-1 + -13 + 0.5x Reorder the terms: k = -13 + 4.5x-1 + 0.5x
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