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Simplifying x4 + 1500x2 + 1250000 = 0 Reorder the terms: 1250000 + 1500x2 + x4 = 0 Solving 1250000 + 1500x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-1250000' to each side of the equation. 1250000 + 1500x2 + -1250000 + x4 = 0 + -1250000 Reorder the terms: 1250000 + -1250000 + 1500x2 + x4 = 0 + -1250000 Combine like terms: 1250000 + -1250000 = 0 0 + 1500x2 + x4 = 0 + -1250000 1500x2 + x4 = 0 + -1250000 Combine like terms: 0 + -1250000 = -1250000 1500x2 + x4 = -1250000 The x term is 1500x2. Take half its coefficient (750). Square it (562500) and add it to both sides. Add '562500' to each side of the equation. 1500x2 + 562500 + x4 = -1250000 + 562500 Reorder the terms: 562500 + 1500x2 + x4 = -1250000 + 562500 Combine like terms: -1250000 + 562500 = -687500 562500 + 1500x2 + x4 = -687500 Factor a perfect square on the left side: (x2 + 750)(x2 + 750) = -687500 Can't calculate square root of the right side. The solution to this equation could not be determined.
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