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Simplifying 0 = -1x2 + -16x + -71 Reorder the terms: 0 = -71 + -16x + -1x2 Solving 0 = -71 + -16x + -1x2 Solving for variable 'x'. Combine like terms: 0 + 71 = 71 71 + 16x + x2 = -71 + -16x + -1x2 + 71 + 16x + x2 Reorder the terms: 71 + 16x + x2 = -71 + 71 + -16x + 16x + -1x2 + x2 Combine like terms: -71 + 71 = 0 71 + 16x + x2 = 0 + -16x + 16x + -1x2 + x2 71 + 16x + x2 = -16x + 16x + -1x2 + x2 Combine like terms: -16x + 16x = 0 71 + 16x + x2 = 0 + -1x2 + x2 71 + 16x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 71 + 16x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-71' to each side of the equation. 71 + 16x + -71 + x2 = 0 + -71 Reorder the terms: 71 + -71 + 16x + x2 = 0 + -71 Combine like terms: 71 + -71 = 0 0 + 16x + x2 = 0 + -71 16x + x2 = 0 + -71 Combine like terms: 0 + -71 = -71 16x + x2 = -71 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 = -71 + 64 Reorder the terms: 64 + 16x + x2 = -71 + 64 Combine like terms: -71 + 64 = -7 64 + 16x + x2 = -7 Factor a perfect square on the left side: (x + 8)(x + 8) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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