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Simplifying x2 + -16x + 60 = -12 Reorder the terms: 60 + -16x + x2 = -12 Solving 60 + -16x + x2 = -12 Solving for variable 'x'. Reorder the terms: 60 + 12 + -16x + x2 = -12 + 12 Combine like terms: 60 + 12 = 72 72 + -16x + x2 = -12 + 12 Combine like terms: -12 + 12 = 0 72 + -16x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-72' to each side of the equation. 72 + -16x + -72 + x2 = 0 + -72 Reorder the terms: 72 + -72 + -16x + x2 = 0 + -72 Combine like terms: 72 + -72 = 0 0 + -16x + x2 = 0 + -72 -16x + x2 = 0 + -72 Combine like terms: 0 + -72 = -72 -16x + x2 = -72 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 = -72 + 64 Reorder the terms: 64 + -16x + x2 = -72 + 64 Combine like terms: -72 + 64 = -8 64 + -16x + x2 = -8 Factor a perfect square on the left side: (x + -8)(x + -8) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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