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Simplifying q4 + 36 + -10q2 = 0 Reorder the terms: 36 + -10q2 + q4 = 0 Solving 36 + -10q2 + q4 = 0 Solving for variable 'q'. Begin completing the square. Move the constant term to the right: Add '-36' to each side of the equation. 36 + -10q2 + -36 + q4 = 0 + -36 Reorder the terms: 36 + -36 + -10q2 + q4 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -10q2 + q4 = 0 + -36 -10q2 + q4 = 0 + -36 Combine like terms: 0 + -36 = -36 -10q2 + q4 = -36 The q term is -10q2. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10q2 + 25 + q4 = -36 + 25 Reorder the terms: 25 + -10q2 + q4 = -36 + 25 Combine like terms: -36 + 25 = -11 25 + -10q2 + q4 = -11 Factor a perfect square on the left side: (q2 + -5)(q2 + -5) = -11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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