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Simplifying x2 + 24x + 144 = -4 Reorder the terms: 144 + 24x + x2 = -4 Solving 144 + 24x + x2 = -4 Solving for variable 'x'. Reorder the terms: 144 + 4 + 24x + x2 = -4 + 4 Combine like terms: 144 + 4 = 148 148 + 24x + x2 = -4 + 4 Combine like terms: -4 + 4 = 0 148 + 24x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-148' to each side of the equation. 148 + 24x + -148 + x2 = 0 + -148 Reorder the terms: 148 + -148 + 24x + x2 = 0 + -148 Combine like terms: 148 + -148 = 0 0 + 24x + x2 = 0 + -148 24x + x2 = 0 + -148 Combine like terms: 0 + -148 = -148 24x + x2 = -148 The x term is 24x. Take half its coefficient (12). Square it (144) and add it to both sides. Add '144' to each side of the equation. 24x + 144 + x2 = -148 + 144 Reorder the terms: 144 + 24x + x2 = -148 + 144 Combine like terms: -148 + 144 = -4 144 + 24x + x2 = -4 Factor a perfect square on the left side: (x + 12)(x + 12) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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