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Simplifying (2x + 4) * x + 19 = 0 Reorder the terms: (4 + 2x) * x + 19 = 0 Reorder the terms for easier multiplication: x(4 + 2x) + 19 = 0 (4 * x + 2x * x) + 19 = 0 (4x + 2x2) + 19 = 0 Reorder the terms: 19 + 4x + 2x2 = 0 Solving 19 + 4x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 9.5 + 2x + x2 = 0 Move the constant term to the right: Add '-9.5' to each side of the equation. 9.5 + 2x + -9.5 + x2 = 0 + -9.5 Reorder the terms: 9.5 + -9.5 + 2x + x2 = 0 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + 2x + x2 = 0 + -9.5 2x + x2 = 0 + -9.5 Combine like terms: 0 + -9.5 = -9.5 2x + x2 = -9.5 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 = -9.5 + 1 Reorder the terms: 1 + 2x + x2 = -9.5 + 1 Combine like terms: -9.5 + 1 = -8.5 1 + 2x + x2 = -8.5 Factor a perfect square on the left side: (x + 1)(x + 1) = -8.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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