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Simplifying z4 + -30z2 + 289 = 0 Reorder the terms: 289 + -30z2 + z4 = 0 Solving 289 + -30z2 + z4 = 0 Solving for variable 'z'. Begin completing the square. Move the constant term to the right: Add '-289' to each side of the equation. 289 + -30z2 + -289 + z4 = 0 + -289 Reorder the terms: 289 + -289 + -30z2 + z4 = 0 + -289 Combine like terms: 289 + -289 = 0 0 + -30z2 + z4 = 0 + -289 -30z2 + z4 = 0 + -289 Combine like terms: 0 + -289 = -289 -30z2 + z4 = -289 The z term is -30z2. Take half its coefficient (-15). Square it (225) and add it to both sides. Add '225' to each side of the equation. -30z2 + 225 + z4 = -289 + 225 Reorder the terms: 225 + -30z2 + z4 = -289 + 225 Combine like terms: -289 + 225 = -64 225 + -30z2 + z4 = -64 Factor a perfect square on the left side: (z2 + -15)(z2 + -15) = -64 Can't calculate square root of the right side. The solution to this equation could not be determined.
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