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Simplifying x2 + 30x + 900 = 0 Reorder the terms: 900 + 30x + x2 = 0 Solving 900 + 30x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-900' to each side of the equation. 900 + 30x + -900 + x2 = 0 + -900 Reorder the terms: 900 + -900 + 30x + x2 = 0 + -900 Combine like terms: 900 + -900 = 0 0 + 30x + x2 = 0 + -900 30x + x2 = 0 + -900 Combine like terms: 0 + -900 = -900 30x + x2 = -900 The x term is 30x. Take half its coefficient (15). Square it (225) and add it to both sides. Add '225' to each side of the equation. 30x + 225 + x2 = -900 + 225 Reorder the terms: 225 + 30x + x2 = -900 + 225 Combine like terms: -900 + 225 = -675 225 + 30x + x2 = -675 Factor a perfect square on the left side: (x + 15)(x + 15) = -675 Can't calculate square root of the right side. The solution to this equation could not be determined.
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