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Simplifying -7a2 + -1(-9a) + -7 = 0 Remove parenthesis around (-9a) -7a2 + -1 * -9a + -7 = 0 Multiply -1 * -9 -7a2 + 9a + -7 = 0 Reorder the terms: -7 + 9a + -7a2 = 0 Solving -7 + 9a + -7a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. 1 + -1.285714286a + a2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1.285714286a + -1 + a2 = 0 + -1 Reorder the terms: 1 + -1 + -1.285714286a + a2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1.285714286a + a2 = 0 + -1 -1.285714286a + a2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1.285714286a + a2 = -1 The a term is -1.285714286a. Take half its coefficient (-0.642857143). Square it (0.4132653063) and add it to both sides. Add '0.4132653063' to each side of the equation. -1.285714286a + 0.4132653063 + a2 = -1 + 0.4132653063 Reorder the terms: 0.4132653063 + -1.285714286a + a2 = -1 + 0.4132653063 Combine like terms: -1 + 0.4132653063 = -0.5867346937 0.4132653063 + -1.285714286a + a2 = -0.5867346937 Factor a perfect square on the left side: (a + -0.642857143)(a + -0.642857143) = -0.5867346937 Can't calculate square root of the right side. The solution to this equation could not be determined.
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