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Simplifying x2 + x2 + -12x + -36 = x2 + -24x + -144 Reorder the terms: -36 + -12x + x2 + x2 = x2 + -24x + -144 Combine like terms: x2 + x2 = 2x2 -36 + -12x + 2x2 = x2 + -24x + -144 Reorder the terms: -36 + -12x + 2x2 = -144 + -24x + x2 Solving -36 + -12x + 2x2 = -144 + -24x + x2 Solving for variable 'x'. Reorder the terms: -36 + 144 + -12x + 24x + 2x2 + -1x2 = -144 + -24x + x2 + 144 + 24x + -1x2 Combine like terms: -36 + 144 = 108 108 + -12x + 24x + 2x2 + -1x2 = -144 + -24x + x2 + 144 + 24x + -1x2 Combine like terms: -12x + 24x = 12x 108 + 12x + 2x2 + -1x2 = -144 + -24x + x2 + 144 + 24x + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 108 + 12x + 1x2 = -144 + -24x + x2 + 144 + 24x + -1x2 Reorder the terms: 108 + 12x + 1x2 = -144 + 144 + -24x + 24x + x2 + -1x2 Combine like terms: -144 + 144 = 0 108 + 12x + 1x2 = 0 + -24x + 24x + x2 + -1x2 108 + 12x + 1x2 = -24x + 24x + x2 + -1x2 Combine like terms: -24x + 24x = 0 108 + 12x + 1x2 = 0 + x2 + -1x2 108 + 12x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 108 + 12x + 1x2 = 0 Begin completing the square. Move the constant term to the right: Add '-108' to each side of the equation. 108 + 12x + -108 + x2 = 0 + -108 Reorder the terms: 108 + -108 + 12x + x2 = 0 + -108 Combine like terms: 108 + -108 = 0 0 + 12x + x2 = 0 + -108 12x + x2 = 0 + -108 Combine like terms: 0 + -108 = -108 12x + x2 = -108 The x term is 12x. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12x + 36 + x2 = -108 + 36 Reorder the terms: 36 + 12x + x2 = -108 + 36 Combine like terms: -108 + 36 = -72 36 + 12x + x2 = -72 Factor a perfect square on the left side: (x + 6)(x + 6) = -72 Can't calculate square root of the right side. The solution to this equation could not be determined.
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