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Simplifying 5x2 + 20 = 16x Reorder the terms: 20 + 5x2 = 16x Solving 20 + 5x2 = 16x Solving for variable 'x'. Reorder the terms: 20 + -16x + 5x2 = 16x + -16x Combine like terms: 16x + -16x = 0 20 + -16x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 4 + -3.2x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -3.2x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -3.2x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3.2x + x2 = 0 + -4 -3.2x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -3.2x + x2 = -4 The x term is -3.2x. Take half its coefficient (-1.6). Square it (2.56) and add it to both sides. Add '2.56' to each side of the equation. -3.2x + 2.56 + x2 = -4 + 2.56 Reorder the terms: 2.56 + -3.2x + x2 = -4 + 2.56 Combine like terms: -4 + 2.56 = -1.44 2.56 + -3.2x + x2 = -1.44 Factor a perfect square on the left side: (x + -1.6)(x + -1.6) = -1.44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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