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Simplifying 21x2 + 5x + 7 = 0 Reorder the terms: 7 + 5x + 21x2 = 0 Solving 7 + 5x + 21x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 21 the coefficient of the squared term: Divide each side by '21'. 0.3333333333 + 0.2380952381x + x2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + 0.2380952381x + -0.3333333333 + x2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + 0.2380952381x + x2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + 0.2380952381x + x2 = 0 + -0.3333333333 0.2380952381x + x2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 0.2380952381x + x2 = -0.3333333333 The x term is 0.2380952381x. Take half its coefficient (0.1190476191). Square it (0.01417233561) and add it to both sides. Add '0.01417233561' to each side of the equation. 0.2380952381x + 0.01417233561 + x2 = -0.3333333333 + 0.01417233561 Reorder the terms: 0.01417233561 + 0.2380952381x + x2 = -0.3333333333 + 0.01417233561 Combine like terms: -0.3333333333 + 0.01417233561 = -0.31916099769 0.01417233561 + 0.2380952381x + x2 = -0.31916099769 Factor a perfect square on the left side: (x + 0.1190476191)(x + 0.1190476191) = -0.31916099769 Can't calculate square root of the right side. The solution to this equation could not be determined.
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