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Simplifying 4x + x2 + 4 = -91 + 4 Reorder the terms: 4 + 4x + x2 = -91 + 4 Combine like terms: -91 + 4 = -87 4 + 4x + x2 = -87 Solving 4 + 4x + x2 = -87 Solving for variable 'x'. Reorder the terms: 4 + 87 + 4x + x2 = -87 + 87 Combine like terms: 4 + 87 = 91 91 + 4x + x2 = -87 + 87 Combine like terms: -87 + 87 = 0 91 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-91' to each side of the equation. 91 + 4x + -91 + x2 = 0 + -91 Reorder the terms: 91 + -91 + 4x + x2 = 0 + -91 Combine like terms: 91 + -91 = 0 0 + 4x + x2 = 0 + -91 4x + x2 = 0 + -91 Combine like terms: 0 + -91 = -91 4x + x2 = -91 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -91 + 4 Reorder the terms: 4 + 4x + x2 = -91 + 4 Combine like terms: -91 + 4 = -87 4 + 4x + x2 = -87 Factor a perfect square on the left side: (x + 2)(x + 2) = -87 Can't calculate square root of the right side. The solution to this equation could not be determined.
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