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Simplifying a2 = 7a + -30 Reorder the terms: a2 = -30 + 7a Solving a2 = -30 + 7a Solving for variable 'a'. Reorder the terms: 30 + -7a + a2 = -30 + 7a + 30 + -7a Reorder the terms: 30 + -7a + a2 = -30 + 30 + 7a + -7a Combine like terms: -30 + 30 = 0 30 + -7a + a2 = 0 + 7a + -7a 30 + -7a + a2 = 7a + -7a Combine like terms: 7a + -7a = 0 30 + -7a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + -7a + -30 + a2 = 0 + -30 Reorder the terms: 30 + -30 + -7a + a2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -7a + a2 = 0 + -30 -7a + a2 = 0 + -30 Combine like terms: 0 + -30 = -30 -7a + a2 = -30 The a term is -7a. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7a + 12.25 + a2 = -30 + 12.25 Reorder the terms: 12.25 + -7a + a2 = -30 + 12.25 Combine like terms: -30 + 12.25 = -17.75 12.25 + -7a + a2 = -17.75 Factor a perfect square on the left side: (a + -3.5)(a + -3.5) = -17.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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