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Simplifying 5x2 + 16x + 32 = 0 Reorder the terms: 32 + 16x + 5x2 = 0 Solving 32 + 16x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 6.4 + 3.2x + x2 = 0 Move the constant term to the right: Add '-6.4' to each side of the equation. 6.4 + 3.2x + -6.4 + x2 = 0 + -6.4 Reorder the terms: 6.4 + -6.4 + 3.2x + x2 = 0 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + 3.2x + x2 = 0 + -6.4 3.2x + x2 = 0 + -6.4 Combine like terms: 0 + -6.4 = -6.4 3.2x + x2 = -6.4 The x term is 3.2x. Take half its coefficient (1.6). Square it (2.56) and add it to both sides. Add '2.56' to each side of the equation. 3.2x + 2.56 + x2 = -6.4 + 2.56 Reorder the terms: 2.56 + 3.2x + x2 = -6.4 + 2.56 Combine like terms: -6.4 + 2.56 = -3.84 2.56 + 3.2x + x2 = -3.84 Factor a perfect square on the left side: (x + 1.6)(x + 1.6) = -3.84 Can't calculate square root of the right side. The solution to this equation could not be determined.
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