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Simplifying 12 + x2 = 8x + -12 Reorder the terms: 12 + x2 = -12 + 8x Solving 12 + x2 = -12 + 8x Solving for variable 'x'. Reorder the terms: 12 + 12 + -8x + x2 = -12 + 8x + 12 + -8x Combine like terms: 12 + 12 = 24 24 + -8x + x2 = -12 + 8x + 12 + -8x Reorder the terms: 24 + -8x + x2 = -12 + 12 + 8x + -8x Combine like terms: -12 + 12 = 0 24 + -8x + x2 = 0 + 8x + -8x 24 + -8x + x2 = 8x + -8x Combine like terms: 8x + -8x = 0 24 + -8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + -8x + -24 + x2 = 0 + -24 Reorder the terms: 24 + -24 + -8x + x2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -8x + x2 = 0 + -24 -8x + x2 = 0 + -24 Combine like terms: 0 + -24 = -24 -8x + x2 = -24 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -24 + 16 Reorder the terms: 16 + -8x + x2 = -24 + 16 Combine like terms: -24 + 16 = -8 16 + -8x + x2 = -8 Factor a perfect square on the left side: (x + -4)(x + -4) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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