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Simplifying x2 + 100 = -16x Reorder the terms: 100 + x2 = -16x Solving 100 + x2 = -16x Solving for variable 'x'. Reorder the terms: 100 + 16x + x2 = -16x + 16x Combine like terms: -16x + 16x = 0 100 + 16x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-100' to each side of the equation. 100 + 16x + -100 + x2 = 0 + -100 Reorder the terms: 100 + -100 + 16x + x2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 16x + x2 = 0 + -100 16x + x2 = 0 + -100 Combine like terms: 0 + -100 = -100 16x + x2 = -100 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 = -100 + 64 Reorder the terms: 64 + 16x + x2 = -100 + 64 Combine like terms: -100 + 64 = -36 64 + 16x + x2 = -36 Factor a perfect square on the left side: (x + 8)(x + 8) = -36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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