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Simplifying 3a + -2 = 10a2 + 7 Reorder the terms: -2 + 3a = 10a2 + 7 Reorder the terms: -2 + 3a = 7 + 10a2 Solving -2 + 3a = 7 + 10a2 Solving for variable 'a'. Reorder the terms: -2 + -7 + 3a + -10a2 = 7 + 10a2 + -7 + -10a2 Combine like terms: -2 + -7 = -9 -9 + 3a + -10a2 = 7 + 10a2 + -7 + -10a2 Reorder the terms: -9 + 3a + -10a2 = 7 + -7 + 10a2 + -10a2 Combine like terms: 7 + -7 = 0 -9 + 3a + -10a2 = 0 + 10a2 + -10a2 -9 + 3a + -10a2 = 10a2 + -10a2 Combine like terms: 10a2 + -10a2 = 0 -9 + 3a + -10a2 = 0 Begin completing the square. Divide all terms by -10 the coefficient of the squared term: Divide each side by '-10'. 0.9 + -0.3a + a2 = 0 Move the constant term to the right: Add '-0.9' to each side of the equation. 0.9 + -0.3a + -0.9 + a2 = 0 + -0.9 Reorder the terms: 0.9 + -0.9 + -0.3a + a2 = 0 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -0.3a + a2 = 0 + -0.9 -0.3a + a2 = 0 + -0.9 Combine like terms: 0 + -0.9 = -0.9 -0.3a + a2 = -0.9 The a term is -0.3a. Take half its coefficient (-0.15). Square it (0.0225) and add it to both sides. Add '0.0225' to each side of the equation. -0.3a + 0.0225 + a2 = -0.9 + 0.0225 Reorder the terms: 0.0225 + -0.3a + a2 = -0.9 + 0.0225 Combine like terms: -0.9 + 0.0225 = -0.8775 0.0225 + -0.3a + a2 = -0.8775 Factor a perfect square on the left side: (a + -0.15)(a + -0.15) = -0.8775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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