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Simplifying 9a2 + 4 = 2a Reorder the terms: 4 + 9a2 = 2a Solving 4 + 9a2 = 2a Solving for variable 'a'. Reorder the terms: 4 + -2a + 9a2 = 2a + -2a Combine like terms: 2a + -2a = 0 4 + -2a + 9a2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.4444444444 + -0.2222222222a + a2 = 0 Move the constant term to the right: Add '-0.4444444444' to each side of the equation. 0.4444444444 + -0.2222222222a + -0.4444444444 + a2 = 0 + -0.4444444444 Reorder the terms: 0.4444444444 + -0.4444444444 + -0.2222222222a + a2 = 0 + -0.4444444444 Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000 0.0000000000 + -0.2222222222a + a2 = 0 + -0.4444444444 -0.2222222222a + a2 = 0 + -0.4444444444 Combine like terms: 0 + -0.4444444444 = -0.4444444444 -0.2222222222a + a2 = -0.4444444444 The a term is -0.2222222222a. Take half its coefficient (-0.1111111111). Square it (0.01234567901) and add it to both sides. Add '0.01234567901' to each side of the equation. -0.2222222222a + 0.01234567901 + a2 = -0.4444444444 + 0.01234567901 Reorder the terms: 0.01234567901 + -0.2222222222a + a2 = -0.4444444444 + 0.01234567901 Combine like terms: -0.4444444444 + 0.01234567901 = -0.43209876539 0.01234567901 + -0.2222222222a + a2 = -0.43209876539 Factor a perfect square on the left side: (a + -0.1111111111)(a + -0.1111111111) = -0.43209876539 Can't calculate square root of the right side. The solution to this equation could not be determined.
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