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Simplifying x2 + -19x + 80 = -80 Reorder the terms: 80 + -19x + x2 = -80 Solving 80 + -19x + x2 = -80 Solving for variable 'x'. Reorder the terms: 80 + 80 + -19x + x2 = -80 + 80 Combine like terms: 80 + 80 = 160 160 + -19x + x2 = -80 + 80 Combine like terms: -80 + 80 = 0 160 + -19x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-160' to each side of the equation. 160 + -19x + -160 + x2 = 0 + -160 Reorder the terms: 160 + -160 + -19x + x2 = 0 + -160 Combine like terms: 160 + -160 = 0 0 + -19x + x2 = 0 + -160 -19x + x2 = 0 + -160 Combine like terms: 0 + -160 = -160 -19x + x2 = -160 The x term is -19x. Take half its coefficient (-9.5). Square it (90.25) and add it to both sides. Add '90.25' to each side of the equation. -19x + 90.25 + x2 = -160 + 90.25 Reorder the terms: 90.25 + -19x + x2 = -160 + 90.25 Combine like terms: -160 + 90.25 = -69.75 90.25 + -19x + x2 = -69.75 Factor a perfect square on the left side: (x + -9.5)(x + -9.5) = -69.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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