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Simplifying x4 + -225x2 + 32400 = 0 Reorder the terms: 32400 + -225x2 + x4 = 0 Solving 32400 + -225x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-32400' to each side of the equation. 32400 + -225x2 + -32400 + x4 = 0 + -32400 Reorder the terms: 32400 + -32400 + -225x2 + x4 = 0 + -32400 Combine like terms: 32400 + -32400 = 0 0 + -225x2 + x4 = 0 + -32400 -225x2 + x4 = 0 + -32400 Combine like terms: 0 + -32400 = -32400 -225x2 + x4 = -32400 The x term is -225x2. Take half its coefficient (-112.5). Square it (12656.25) and add it to both sides. Add '12656.25' to each side of the equation. -225x2 + 12656.25 + x4 = -32400 + 12656.25 Reorder the terms: 12656.25 + -225x2 + x4 = -32400 + 12656.25 Combine like terms: -32400 + 12656.25 = -19743.75 12656.25 + -225x2 + x4 = -19743.75 Factor a perfect square on the left side: (x2 + -112.5)(x2 + -112.5) = -19743.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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