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Simplifying x2 + 16x = -91 Reorder the terms: 16x + x2 = -91 Solving 16x + x2 = -91 Solving for variable 'x'. Reorder the terms: 91 + 16x + x2 = -91 + 91 Combine like terms: -91 + 91 = 0 91 + 16x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-91' to each side of the equation. 91 + 16x + -91 + x2 = 0 + -91 Reorder the terms: 91 + -91 + 16x + x2 = 0 + -91 Combine like terms: 91 + -91 = 0 0 + 16x + x2 = 0 + -91 16x + x2 = 0 + -91 Combine like terms: 0 + -91 = -91 16x + x2 = -91 The x term is 16x. Take half its coefficient (8). Square it (64) and add it to both sides. Add '64' to each side of the equation. 16x + 64 + x2 = -91 + 64 Reorder the terms: 64 + 16x + x2 = -91 + 64 Combine like terms: -91 + 64 = -27 64 + 16x + x2 = -27 Factor a perfect square on the left side: (x + 8)(x + 8) = -27 Can't calculate square root of the right side. The solution to this equation could not be determined.
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