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Simplifying -5a2 + 9a + -15 = -8 Reorder the terms: -15 + 9a + -5a2 = -8 Solving -15 + 9a + -5a2 = -8 Solving for variable 'a'. Reorder the terms: -15 + 8 + 9a + -5a2 = -8 + 8 Combine like terms: -15 + 8 = -7 -7 + 9a + -5a2 = -8 + 8 Combine like terms: -8 + 8 = 0 -7 + 9a + -5a2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 1.4 + -1.8a + a2 = 0 Move the constant term to the right: Add '-1.4' to each side of the equation. 1.4 + -1.8a + -1.4 + a2 = 0 + -1.4 Reorder the terms: 1.4 + -1.4 + -1.8a + a2 = 0 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -1.8a + a2 = 0 + -1.4 -1.8a + a2 = 0 + -1.4 Combine like terms: 0 + -1.4 = -1.4 -1.8a + a2 = -1.4 The a term is -1.8a. Take half its coefficient (-0.9). Square it (0.81) and add it to both sides. Add '0.81' to each side of the equation. -1.8a + 0.81 + a2 = -1.4 + 0.81 Reorder the terms: 0.81 + -1.8a + a2 = -1.4 + 0.81 Combine like terms: -1.4 + 0.81 = -0.59 0.81 + -1.8a + a2 = -0.59 Factor a perfect square on the left side: (a + -0.9)(a + -0.9) = -0.59 Can't calculate square root of the right side. The solution to this equation could not be determined.
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