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Simplifying 7x2 + 14x + 21 = 1 Reorder the terms: 21 + 14x + 7x2 = 1 Solving 21 + 14x + 7x2 = 1 Solving for variable 'x'. Reorder the terms: 21 + -1 + 14x + 7x2 = 1 + -1 Combine like terms: 21 + -1 = 20 20 + 14x + 7x2 = 1 + -1 Combine like terms: 1 + -1 = 0 20 + 14x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 2.857142857 + 2x + x2 = 0 Move the constant term to the right: Add '-2.857142857' to each side of the equation. 2.857142857 + 2x + -2.857142857 + x2 = 0 + -2.857142857 Reorder the terms: 2.857142857 + -2.857142857 + 2x + x2 = 0 + -2.857142857 Combine like terms: 2.857142857 + -2.857142857 = 0.000000000 0.000000000 + 2x + x2 = 0 + -2.857142857 2x + x2 = 0 + -2.857142857 Combine like terms: 0 + -2.857142857 = -2.857142857 2x + x2 = -2.857142857 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -2.857142857 + 1 Reorder the terms: 1 + 2x + x2 = -2.857142857 + 1 Combine like terms: -2.857142857 + 1 = -1.857142857 1 + 2x + x2 = -1.857142857 Factor a perfect square on the left side: (x + 1)(x + 1) = -1.857142857 Can't calculate square root of the right side. The solution to this equation could not be determined.
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