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Simplifying 4.9x2 + 12x + 91 = 0 Reorder the terms: 91 + 12x + 4.9x2 = 0 Solving 91 + 12x + 4.9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 18.57142857 + 2.448979592x + x2 = 0 Move the constant term to the right: Add '-18.57142857' to each side of the equation. 18.57142857 + 2.448979592x + -18.57142857 + x2 = 0 + -18.57142857 Reorder the terms: 18.57142857 + -18.57142857 + 2.448979592x + x2 = 0 + -18.57142857 Combine like terms: 18.57142857 + -18.57142857 = 0.00000000 0.00000000 + 2.448979592x + x2 = 0 + -18.57142857 2.448979592x + x2 = 0 + -18.57142857 Combine like terms: 0 + -18.57142857 = -18.57142857 2.448979592x + x2 = -18.57142857 The x term is 2.448979592x. Take half its coefficient (1.224489796). Square it (1.499375261) and add it to both sides. Add '1.499375261' to each side of the equation. 2.448979592x + 1.499375261 + x2 = -18.57142857 + 1.499375261 Reorder the terms: 1.499375261 + 2.448979592x + x2 = -18.57142857 + 1.499375261 Combine like terms: -18.57142857 + 1.499375261 = -17.072053309 1.499375261 + 2.448979592x + x2 = -17.072053309 Factor a perfect square on the left side: (x + 1.224489796)(x + 1.224489796) = -17.072053309 Can't calculate square root of the right side. The solution to this equation could not be determined.
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