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Simplifying 80 = 4x + -1x2 Solving 80 = 4x + -1x2 Solving for variable 'x'. Reorder the terms: 80 + -4x + x2 = 4x + -4x + -1x2 + x2 Combine like terms: 4x + -4x = 0 80 + -4x + x2 = 0 + -1x2 + x2 80 + -4x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 80 + -4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-80' to each side of the equation. 80 + -4x + -80 + x2 = 0 + -80 Reorder the terms: 80 + -80 + -4x + x2 = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -4x + x2 = 0 + -80 -4x + x2 = 0 + -80 Combine like terms: 0 + -80 = -80 -4x + x2 = -80 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 = -80 + 4 Reorder the terms: 4 + -4x + x2 = -80 + 4 Combine like terms: -80 + 4 = -76 4 + -4x + x2 = -76 Factor a perfect square on the left side: (x + -2)(x + -2) = -76 Can't calculate square root of the right side. The solution to this equation could not be determined.
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