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Simplifying 7a2 + 5 = 6a Reorder the terms: 5 + 7a2 = 6a Solving 5 + 7a2 = 6a Solving for variable 'a'. Reorder the terms: 5 + -6a + 7a2 = 6a + -6a Combine like terms: 6a + -6a = 0 5 + -6a + 7a2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.7142857143 + -0.8571428571a + a2 = 0 Move the constant term to the right: Add '-0.7142857143' to each side of the equation. 0.7142857143 + -0.8571428571a + -0.7142857143 + a2 = 0 + -0.7142857143 Reorder the terms: 0.7142857143 + -0.7142857143 + -0.8571428571a + a2 = 0 + -0.7142857143 Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000 0.0000000000 + -0.8571428571a + a2 = 0 + -0.7142857143 -0.8571428571a + a2 = 0 + -0.7142857143 Combine like terms: 0 + -0.7142857143 = -0.7142857143 -0.8571428571a + a2 = -0.7142857143 The a term is -0.8571428571a. Take half its coefficient (-0.4285714286). Square it (0.1836734694) and add it to both sides. Add '0.1836734694' to each side of the equation. -0.8571428571a + 0.1836734694 + a2 = -0.7142857143 + 0.1836734694 Reorder the terms: 0.1836734694 + -0.8571428571a + a2 = -0.7142857143 + 0.1836734694 Combine like terms: -0.7142857143 + 0.1836734694 = -0.5306122449 0.1836734694 + -0.8571428571a + a2 = -0.5306122449 Factor a perfect square on the left side: (a + -0.4285714286)(a + -0.4285714286) = -0.5306122449 Can't calculate square root of the right side. The solution to this equation could not be determined.
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