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Simplifying 14x2 + 13x + 20 = 0 Reorder the terms: 20 + 13x + 14x2 = 0 Solving 20 + 13x + 14x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 1.428571429 + 0.9285714286x + x2 = 0 Move the constant term to the right: Add '-1.428571429' to each side of the equation. 1.428571429 + 0.9285714286x + -1.428571429 + x2 = 0 + -1.428571429 Reorder the terms: 1.428571429 + -1.428571429 + 0.9285714286x + x2 = 0 + -1.428571429 Combine like terms: 1.428571429 + -1.428571429 = 0.000000000 0.000000000 + 0.9285714286x + x2 = 0 + -1.428571429 0.9285714286x + x2 = 0 + -1.428571429 Combine like terms: 0 + -1.428571429 = -1.428571429 0.9285714286x + x2 = -1.428571429 The x term is 0.9285714286x. Take half its coefficient (0.4642857143). Square it (0.2155612245) and add it to both sides. Add '0.2155612245' to each side of the equation. 0.9285714286x + 0.2155612245 + x2 = -1.428571429 + 0.2155612245 Reorder the terms: 0.2155612245 + 0.9285714286x + x2 = -1.428571429 + 0.2155612245 Combine like terms: -1.428571429 + 0.2155612245 = -1.2130102045 0.2155612245 + 0.9285714286x + x2 = -1.2130102045 Factor a perfect square on the left side: (x + 0.4642857143)(x + 0.4642857143) = -1.2130102045 Can't calculate square root of the right side. The solution to this equation could not be determined.
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