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Simplifying 7x2 + 14x = -71 Reorder the terms: 14x + 7x2 = -71 Solving 14x + 7x2 = -71 Solving for variable 'x'. Reorder the terms: 71 + 14x + 7x2 = -71 + 71 Combine like terms: -71 + 71 = 0 71 + 14x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 10.14285714 + 2x + x2 = 0 Move the constant term to the right: Add '-10.14285714' to each side of the equation. 10.14285714 + 2x + -10.14285714 + x2 = 0 + -10.14285714 Reorder the terms: 10.14285714 + -10.14285714 + 2x + x2 = 0 + -10.14285714 Combine like terms: 10.14285714 + -10.14285714 = 0.00000000 0.00000000 + 2x + x2 = 0 + -10.14285714 2x + x2 = 0 + -10.14285714 Combine like terms: 0 + -10.14285714 = -10.14285714 2x + x2 = -10.14285714 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 = -10.14285714 + 1 Reorder the terms: 1 + 2x + x2 = -10.14285714 + 1 Combine like terms: -10.14285714 + 1 = -9.14285714 1 + 2x + x2 = -9.14285714 Factor a perfect square on the left side: (x + 1)(x + 1) = -9.14285714 Can't calculate square root of the right side. The solution to this equation could not be determined.
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