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Simplifying 5.25x2 + x + 14 = 0 Reorder the terms: 14 + x + 5.25x2 = 0 Solving 14 + x + 5.25x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5.25 the coefficient of the squared term: Divide each side by '5.25'. 2.666666667 + 0.1904761905x + x2 = 0 Move the constant term to the right: Add '-2.666666667' to each side of the equation. 2.666666667 + 0.1904761905x + -2.666666667 + x2 = 0 + -2.666666667 Reorder the terms: 2.666666667 + -2.666666667 + 0.1904761905x + x2 = 0 + -2.666666667 Combine like terms: 2.666666667 + -2.666666667 = 0.000000000 0.000000000 + 0.1904761905x + x2 = 0 + -2.666666667 0.1904761905x + x2 = 0 + -2.666666667 Combine like terms: 0 + -2.666666667 = -2.666666667 0.1904761905x + x2 = -2.666666667 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. 0.1904761905x + 0.25 + x2 = -2.666666667 + 0.25 Reorder the terms: 0.25 + 0.1904761905x + x2 = -2.666666667 + 0.25 Combine like terms: -2.666666667 + 0.25 = -2.416666667 0.25 + 0.1904761905x + x2 = -2.416666667 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -2.416666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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