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Simplifying 2(x2 + 4x + 16) = 19 Reorder the terms: 2(16 + 4x + x2) = 19 (16 * 2 + 4x * 2 + x2 * 2) = 19 (32 + 8x + 2x2) = 19 Solving 32 + 8x + 2x2 = 19 Solving for variable 'x'. Reorder the terms: 32 + -19 + 8x + 2x2 = 19 + -19 Combine like terms: 32 + -19 = 13 13 + 8x + 2x2 = 19 + -19 Combine like terms: 19 + -19 = 0 13 + 8x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 6.5 + 4x + x2 = 0 Move the constant term to the right: Add '-6.5' to each side of the equation. 6.5 + 4x + -6.5 + x2 = 0 + -6.5 Reorder the terms: 6.5 + -6.5 + 4x + x2 = 0 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + 4x + x2 = 0 + -6.5 4x + x2 = 0 + -6.5 Combine like terms: 0 + -6.5 = -6.5 4x + x2 = -6.5 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -6.5 + 4 Reorder the terms: 4 + 4x + x2 = -6.5 + 4 Combine like terms: -6.5 + 4 = -2.5 4 + 4x + x2 = -2.5 Factor a perfect square on the left side: (x + 2)(x + 2) = -2.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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