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Simplifying x2 + 40x + 1500 = 0 Reorder the terms: 1500 + 40x + x2 = 0 Solving 1500 + 40x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-1500' to each side of the equation. 1500 + 40x + -1500 + x2 = 0 + -1500 Reorder the terms: 1500 + -1500 + 40x + x2 = 0 + -1500 Combine like terms: 1500 + -1500 = 0 0 + 40x + x2 = 0 + -1500 40x + x2 = 0 + -1500 Combine like terms: 0 + -1500 = -1500 40x + x2 = -1500 The x term is 40x. Take half its coefficient (20). Square it (400) and add it to both sides. Add '400' to each side of the equation. 40x + 400 + x2 = -1500 + 400 Reorder the terms: 400 + 40x + x2 = -1500 + 400 Combine like terms: -1500 + 400 = -1100 400 + 40x + x2 = -1100 Factor a perfect square on the left side: (x + 20)(x + 20) = -1100 Can't calculate square root of the right side. The solution to this equation could not be determined.
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