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Simplifying 5x2 + 52x + 153 = 0 Reorder the terms: 153 + 52x + 5x2 = 0 Solving 153 + 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'. 30.6 + 10.4x + x2 = 0 Move the constant term to the right: Add '-30.6' to each side of the equation. 30.6 + 10.4x + -30.6 + x2 = 0 + -30.6 Reorder the terms: 30.6 + -30.6 + 10.4x + x2 = 0 + -30.6 Combine like terms: 30.6 + -30.6 = 0.0 0.0 + 10.4x + x2 = 0 + -30.6 10.4x + x2 = 0 + -30.6 Combine like terms: 0 + -30.6 = -30.6 10.4x + x2 = -30.6 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 = -30.6 + 27.04 Reorder the terms: 27.04 + 10.4x + x2 = -30.6 + 27.04 Combine like terms: -30.6 + 27.04 = -3.56 27.04 + 10.4x + x2 = -3.56 Factor a perfect square on the left side: (x + 5.2)(x + 5.2) = -3.56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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