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Simplifying x2 + 14x + 64 + 12x + 96 + 32 = 0 Reorder the terms: 64 + 96 + 32 + 14x + 12x + x2 = 0 Combine like terms: 64 + 96 = 160 160 + 32 + 14x + 12x + x2 = 0 Combine like terms: 160 + 32 = 192 192 + 14x + 12x + x2 = 0 Combine like terms: 14x + 12x = 26x 192 + 26x + x2 = 0 Solving 192 + 26x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-192' to each side of the equation. 192 + 26x + -192 + x2 = 0 + -192 Reorder the terms: 192 + -192 + 26x + x2 = 0 + -192 Combine like terms: 192 + -192 = 0 0 + 26x + x2 = 0 + -192 26x + x2 = 0 + -192 Combine like terms: 0 + -192 = -192 26x + x2 = -192 The x term is 26x. Take half its coefficient (13). Square it (169) and add it to both sides. Add '169' to each side of the equation. 26x + 169 + x2 = -192 + 169 Reorder the terms: 169 + 26x + x2 = -192 + 169 Combine like terms: -192 + 169 = -23 169 + 26x + x2 = -23 Factor a perfect square on the left side: (x + 13)(x + 13) = -23 Can't calculate square root of the right side. The solution to this equation could not be determined.
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