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Simplifying 4x(4 + -1x) = 5(2 + x) (4 * 4x + -1x * 4x) = 5(2 + x) (16x + -4x2) = 5(2 + x) 16x + -4x2 = (2 * 5 + x * 5) 16x + -4x2 = (10 + 5x) Solving 16x + -4x2 = 10 + 5x Solving for variable 'x'. Reorder the terms: -10 + 16x + -5x + -4x2 = 10 + 5x + -10 + -5x Combine like terms: 16x + -5x = 11x -10 + 11x + -4x2 = 10 + 5x + -10 + -5x Reorder the terms: -10 + 11x + -4x2 = 10 + -10 + 5x + -5x Combine like terms: 10 + -10 = 0 -10 + 11x + -4x2 = 0 + 5x + -5x -10 + 11x + -4x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 11x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 2.5 + -2.75x + x2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + -2.75x + -2.5 + x2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + -2.75x + x2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -2.75x + x2 = 0 + -2.5 -2.75x + x2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 -2.75x + x2 = -2.5 The x term is -2.75x. Take half its coefficient (-1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. -2.75x + 1.890625 + x2 = -2.5 + 1.890625 Reorder the terms: 1.890625 + -2.75x + x2 = -2.5 + 1.890625 Combine like terms: -2.5 + 1.890625 = -0.609375 1.890625 + -2.75x + x2 = -0.609375 Factor a perfect square on the left side: (x + -1.375)(x + -1.375) = -0.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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