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Simplifying (2x2) = (-5x + -7) Reorder the terms: (2x2) = (-7 + -5x) Remove parenthesis around (-7 + -5x) (2x2) = -7 + -5x Solving (2x2) = -7 + -5x Solving for variable 'x'. Reorder the terms: 7 + 5x + (2x2) = -7 + -5x + 7 + 5x Reorder the terms: 7 + 5x + (2x2) = -7 + 7 + -5x + 5x Combine like terms: -7 + 7 = 0 7 + 5x + (2x2) = 0 + -5x + 5x 7 + 5x + (2x2) = -5x + 5x Combine like terms: -5x + 5x = 0 7 + 5x + (2x2) = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 3.5 + 2.5x + x2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + 2.5x + -3.5 + x2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + 2.5x + x2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 2.5x + x2 = 0 + -3.5 2.5x + x2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 2.5x + x2 = -3.5 The x term is 2.5x. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5x + 1.5625 + x2 = -3.5 + 1.5625 Reorder the terms: 1.5625 + 2.5x + x2 = -3.5 + 1.5625 Combine like terms: -3.5 + 1.5625 = -1.9375 1.5625 + 2.5x + x2 = -1.9375 Factor a perfect square on the left side: ((x) + 1.25)((x) + 1.25) = -1.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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