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Simplifying x2 + -4kx + 48 = 0 Reorder the terms: 48 + -4kx + x2 = 0 Solving 48 + -4kx + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -4kx + -48 + x2 = 0 + -48 Reorder the terms: 48 + -48 + -4kx + x2 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -4kx + x2 = 0 + -48 -4kx + x2 = 0 + -48 Combine like terms: 0 + -48 = -48 -4kx + x2 = -48 Add '-1x2' to each side of the equation. -4kx + x2 + -1x2 = -48 + -1x2 Combine like terms: x2 + -1x2 = 0 -4kx + 0 = -48 + -1x2 -4kx = -48 + -1x2 Divide each side by '-4x'. k = 12x-1 + 0.25x Simplifying k = 12x-1 + 0.25x
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