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Simplifying 5a2 + 10 = 2a Reorder the terms: 10 + 5a2 = 2a Solving 10 + 5a2 = 2a Solving for variable 'a'. Reorder the terms: 10 + -2a + 5a2 = 2a + -2a Combine like terms: 2a + -2a = 0 10 + -2a + 5a2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2 + -0.4a + a2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -0.4a + -2 + a2 = 0 + -2 Reorder the terms: 2 + -2 + -0.4a + a2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.4a + a2 = 0 + -2 -0.4a + a2 = 0 + -2 Combine like terms: 0 + -2 = -2 -0.4a + a2 = -2 The a term is -0.4a. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4a + 0.04 + a2 = -2 + 0.04 Reorder the terms: 0.04 + -0.4a + a2 = -2 + 0.04 Combine like terms: -2 + 0.04 = -1.96 0.04 + -0.4a + a2 = -1.96 Factor a perfect square on the left side: (a + -0.2)(a + -0.2) = -1.96 Can't calculate square root of the right side. The solution to this equation could not be determined.
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