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Simplifying (-7x2 + x + -90) = 0 Reorder the terms: (-90 + x + -7x2) = 0 Remove parenthesis around (-90 + x + -7x2) -90 + x + -7x2 = 0 Solving -90 + x + -7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. 12.85714286 + -0.1428571429x + x2 = 0 Move the constant term to the right: Add '-12.85714286' to each side of the equation. 12.85714286 + -0.1428571429x + -12.85714286 + x2 = 0 + -12.85714286 Reorder the terms: 12.85714286 + -12.85714286 + -0.1428571429x + x2 = 0 + -12.85714286 Combine like terms: 12.85714286 + -12.85714286 = 0.00000000 0.00000000 + -0.1428571429x + x2 = 0 + -12.85714286 -0.1428571429x + x2 = 0 + -12.85714286 Combine like terms: 0 + -12.85714286 = -12.85714286 -0.1428571429x + x2 = -12.85714286 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.1428571429x + 0.25 + x2 = -12.85714286 + 0.25 Reorder the terms: 0.25 + -0.1428571429x + x2 = -12.85714286 + 0.25 Combine like terms: -12.85714286 + 0.25 = -12.60714286 0.25 + -0.1428571429x + x2 = -12.60714286 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -12.60714286 Can't calculate square root of the right side. The solution to this equation could not be determined.
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