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Simplifying 6a2 + -28a + 147 = 0 Reorder the terms: 147 + -28a + 6a2 = 0 Solving 147 + -28a + 6a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 24.5 + -4.666666667a + a2 = 0 Move the constant term to the right: Add '-24.5' to each side of the equation. 24.5 + -4.666666667a + -24.5 + a2 = 0 + -24.5 Reorder the terms: 24.5 + -24.5 + -4.666666667a + a2 = 0 + -24.5 Combine like terms: 24.5 + -24.5 = 0.0 0.0 + -4.666666667a + a2 = 0 + -24.5 -4.666666667a + a2 = 0 + -24.5 Combine like terms: 0 + -24.5 = -24.5 -4.666666667a + a2 = -24.5 The a term is -4.666666667a. Take half its coefficient (-2.333333334). Square it (5.444444448) and add it to both sides. Add '5.444444448' to each side of the equation. -4.666666667a + 5.444444448 + a2 = -24.5 + 5.444444448 Reorder the terms: 5.444444448 + -4.666666667a + a2 = -24.5 + 5.444444448 Combine like terms: -24.5 + 5.444444448 = -19.055555552 5.444444448 + -4.666666667a + a2 = -19.055555552 Factor a perfect square on the left side: (a + -2.333333334)(a + -2.333333334) = -19.055555552 Can't calculate square root of the right side. The solution to this equation could not be determined.
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