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Simplifying x2 + 25.2x + 158.76 = -4521.24 Reorder the terms: 158.76 + 25.2x + x2 = -4521.24 Solving 158.76 + 25.2x + x2 = -4521.24 Solving for variable 'x'. Reorder the terms: 158.76 + 4521.24 + 25.2x + x2 = -4521.24 + 4521.24 Combine like terms: 158.76 + 4521.24 = 4680 4680 + 25.2x + x2 = -4521.24 + 4521.24 Combine like terms: -4521.24 + 4521.24 = 0.00 4680 + 25.2x + x2 = 0.00 Begin completing the square. Move the constant term to the right: Add '-4680' to each side of the equation. 4680 + 25.2x + -4680 + x2 = 0.00 + -4680 Reorder the terms: 4680 + -4680 + 25.2x + x2 = 0.00 + -4680 Combine like terms: 4680 + -4680 = 0 0 + 25.2x + x2 = 0.00 + -4680 25.2x + x2 = 0.00 + -4680 Combine like terms: 0.00 + -4680 = -4680 25.2x + x2 = -4680 The x term is 25.2x. Take half its coefficient (12.6). Square it (158.76) and add it to both sides. Add '158.76' to each side of the equation. 25.2x + 158.76 + x2 = -4680 + 158.76 Reorder the terms: 158.76 + 25.2x + x2 = -4680 + 158.76 Combine like terms: -4680 + 158.76 = -4521.24 158.76 + 25.2x + x2 = -4521.24 Factor a perfect square on the left side: (x + 12.6)(x + 12.6) = -4521.24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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