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Simplifying 5x2 + 52x + 160 = 0 Reorder the terms: 160 + 52x + 5x2 = 0 Solving 160 + 52x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 32 + 10.4x + x2 = 0 Move the constant term to the right: Add '-32' to each side of the equation. 32 + 10.4x + -32 + x2 = 0 + -32 Reorder the terms: 32 + -32 + 10.4x + x2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 10.4x + x2 = 0 + -32 10.4x + x2 = 0 + -32 Combine like terms: 0 + -32 = -32 10.4x + x2 = -32 The x term is 10.4x. Take half its coefficient (5.2). Square it (27.04) and add it to both sides. Add '27.04' to each side of the equation. 10.4x + 27.04 + x2 = -32 + 27.04 Reorder the terms: 27.04 + 10.4x + x2 = -32 + 27.04 Combine like terms: -32 + 27.04 = -4.96 27.04 + 10.4x + x2 = -4.96 Factor a perfect square on the left side: (x + 5.2)(x + 5.2) = -4.96 Can't calculate square root of the right side. The solution to this equation could not be determined.
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