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Simplifying -3.5 = 2x2 + 14x + 26 Reorder the terms: -3.5 = 26 + 14x + 2x2 Solving -3.5 = 26 + 14x + 2x2 Solving for variable 'x'. Combine like terms: -3.5 + -26 = -29.5 -29.5 + -14x + -2x2 = 26 + 14x + 2x2 + -26 + -14x + -2x2 Reorder the terms: -29.5 + -14x + -2x2 = 26 + -26 + 14x + -14x + 2x2 + -2x2 Combine like terms: 26 + -26 = 0 -29.5 + -14x + -2x2 = 0 + 14x + -14x + 2x2 + -2x2 -29.5 + -14x + -2x2 = 14x + -14x + 2x2 + -2x2 Combine like terms: 14x + -14x = 0 -29.5 + -14x + -2x2 = 0 + 2x2 + -2x2 -29.5 + -14x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -29.5 + -14x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 14.75 + 7x + x2 = 0 Move the constant term to the right: Add '-14.75' to each side of the equation. 14.75 + 7x + -14.75 + x2 = 0 + -14.75 Reorder the terms: 14.75 + -14.75 + 7x + x2 = 0 + -14.75 Combine like terms: 14.75 + -14.75 = 0.00 0.00 + 7x + x2 = 0 + -14.75 7x + x2 = 0 + -14.75 Combine like terms: 0 + -14.75 = -14.75 7x + x2 = -14.75 The x term is 7x. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7x + 12.25 + x2 = -14.75 + 12.25 Reorder the terms: 12.25 + 7x + x2 = -14.75 + 12.25 Combine like terms: -14.75 + 12.25 = -2.5 12.25 + 7x + x2 = -2.5 Factor a perfect square on the left side: (x + 3.5)(x + 3.5) = -2.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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