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Simplifying 5a2 + -8a + 84 = 0 Reorder the terms: 84 + -8a + 5a2 = 0 Solving 84 + -8a + 5a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 16.8 + -1.6a + a2 = 0 Move the constant term to the right: Add '-16.8' to each side of the equation. 16.8 + -1.6a + -16.8 + a2 = 0 + -16.8 Reorder the terms: 16.8 + -16.8 + -1.6a + a2 = 0 + -16.8 Combine like terms: 16.8 + -16.8 = 0.0 0.0 + -1.6a + a2 = 0 + -16.8 -1.6a + a2 = 0 + -16.8 Combine like terms: 0 + -16.8 = -16.8 -1.6a + a2 = -16.8 The a term is -1.6a. Take half its coefficient (-0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. -1.6a + 0.64 + a2 = -16.8 + 0.64 Reorder the terms: 0.64 + -1.6a + a2 = -16.8 + 0.64 Combine like terms: -16.8 + 0.64 = -16.16 0.64 + -1.6a + a2 = -16.16 Factor a perfect square on the left side: (a + -0.8)(a + -0.8) = -16.16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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