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Simplifying 7a2 + 10 = 4a Reorder the terms: 10 + 7a2 = 4a Solving 10 + 7a2 = 4a Solving for variable 'a'. Reorder the terms: 10 + -4a + 7a2 = 4a + -4a Combine like terms: 4a + -4a = 0 10 + -4a + 7a2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.428571429 + -0.5714285714a + a2 = 0 Move the constant term to the right: Add '-1.428571429' to each side of the equation. 1.428571429 + -0.5714285714a + -1.428571429 + a2 = 0 + -1.428571429 Reorder the terms: 1.428571429 + -1.428571429 + -0.5714285714a + a2 = 0 + -1.428571429 Combine like terms: 1.428571429 + -1.428571429 = 0.000000000 0.000000000 + -0.5714285714a + a2 = 0 + -1.428571429 -0.5714285714a + a2 = 0 + -1.428571429 Combine like terms: 0 + -1.428571429 = -1.428571429 -0.5714285714a + a2 = -1.428571429 The a term is -0.5714285714a. Take half its coefficient (-0.2857142857). Square it (0.08163265305) and add it to both sides. Add '0.08163265305' to each side of the equation. -0.5714285714a + 0.08163265305 + a2 = -1.428571429 + 0.08163265305 Reorder the terms: 0.08163265305 + -0.5714285714a + a2 = -1.428571429 + 0.08163265305 Combine like terms: -1.428571429 + 0.08163265305 = -1.34693877595 0.08163265305 + -0.5714285714a + a2 = -1.34693877595 Factor a perfect square on the left side: (a + -0.2857142857)(a + -0.2857142857) = -1.34693877595 Can't calculate square root of the right side. The solution to this equation could not be determined.
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