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Simplifying x2 + -40x = -1500 Reorder the terms: -40x + x2 = -1500 Solving -40x + x2 = -1500 Solving for variable 'x'. Reorder the terms: 1500 + -40x + x2 = -1500 + 1500 Combine like terms: -1500 + 1500 = 0 1500 + -40x + x2 = 0 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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