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Simplifying x2 = 16x + -88 Reorder the terms: x2 = -88 + 16x Solving x2 = -88 + 16x Solving for variable 'x'. Reorder the terms: 88 + -16x + x2 = -88 + 16x + 88 + -16x Reorder the terms: 88 + -16x + x2 = -88 + 88 + 16x + -16x Combine like terms: -88 + 88 = 0 88 + -16x + x2 = 0 + 16x + -16x 88 + -16x + x2 = 16x + -16x Combine like terms: 16x + -16x = 0 88 + -16x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-88' to each side of the equation. 88 + -16x + -88 + x2 = 0 + -88 Reorder the terms: 88 + -88 + -16x + x2 = 0 + -88 Combine like terms: 88 + -88 = 0 0 + -16x + x2 = 0 + -88 -16x + x2 = 0 + -88 Combine like terms: 0 + -88 = -88 -16x + x2 = -88 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 = -88 + 64 Reorder the terms: 64 + -16x + x2 = -88 + 64 Combine like terms: -88 + 64 = -24 64 + -16x + x2 = -24 Factor a perfect square on the left side: (x + -8)(x + -8) = -24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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