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Simplifying a4 + -15a2 + 90 = 0 Reorder the terms: 90 + -15a2 + a4 = 0 Solving 90 + -15a2 + a4 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-90' to each side of the equation. 90 + -15a2 + -90 + a4 = 0 + -90 Reorder the terms: 90 + -90 + -15a2 + a4 = 0 + -90 Combine like terms: 90 + -90 = 0 0 + -15a2 + a4 = 0 + -90 -15a2 + a4 = 0 + -90 Combine like terms: 0 + -90 = -90 -15a2 + a4 = -90 The a term is -15a2. Take half its coefficient (-7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. -15a2 + 56.25 + a4 = -90 + 56.25 Reorder the terms: 56.25 + -15a2 + a4 = -90 + 56.25 Combine like terms: -90 + 56.25 = -33.75 56.25 + -15a2 + a4 = -33.75 Factor a perfect square on the left side: (a2 + -7.5)(a2 + -7.5) = -33.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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