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Simplifying 4x2 + 16x = -31 Reorder the terms: 16x + 4x2 = -31 Solving 16x + 4x2 = -31 Solving for variable 'x'. Reorder the terms: 31 + 16x + 4x2 = -31 + 31 Combine like terms: -31 + 31 = 0 31 + 16x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 7.75 + 4x + x2 = 0 Move the constant term to the right: Add '-7.75' to each side of the equation. 7.75 + 4x + -7.75 + x2 = 0 + -7.75 Reorder the terms: 7.75 + -7.75 + 4x + x2 = 0 + -7.75 Combine like terms: 7.75 + -7.75 = 0.00 0.00 + 4x + x2 = 0 + -7.75 4x + x2 = 0 + -7.75 Combine like terms: 0 + -7.75 = -7.75 4x + x2 = -7.75 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 = -7.75 + 4 Reorder the terms: 4 + 4x + x2 = -7.75 + 4 Combine like terms: -7.75 + 4 = -3.75 4 + 4x + x2 = -3.75 Factor a perfect square on the left side: (x + 2)(x + 2) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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