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Simplifying a2 + -28a + 14 = -192 Reorder the terms: 14 + -28a + a2 = -192 Solving 14 + -28a + a2 = -192 Solving for variable 'a'. Reorder the terms: 14 + 192 + -28a + a2 = -192 + 192 Combine like terms: 14 + 192 = 206 206 + -28a + a2 = -192 + 192 Combine like terms: -192 + 192 = 0 206 + -28a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-206' to each side of the equation. 206 + -28a + -206 + a2 = 0 + -206 Reorder the terms: 206 + -206 + -28a + a2 = 0 + -206 Combine like terms: 206 + -206 = 0 0 + -28a + a2 = 0 + -206 -28a + a2 = 0 + -206 Combine like terms: 0 + -206 = -206 -28a + a2 = -206 The a term is -28a. Take half its coefficient (-14). Square it (196) and add it to both sides. Add '196' to each side of the equation. -28a + 196 + a2 = -206 + 196 Reorder the terms: 196 + -28a + a2 = -206 + 196 Combine like terms: -206 + 196 = -10 196 + -28a + a2 = -10 Factor a perfect square on the left side: (a + -14)(a + -14) = -10 Can't calculate square root of the right side. The solution to this equation could not be determined.
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