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Simplifying 280 = (18 + -1x)(-5 + x) Multiply (18 + -1x) * (-5 + x) 280 = (18(-5 + x) + -1x * (-5 + x)) 280 = ((-5 * 18 + x * 18) + -1x * (-5 + x)) 280 = ((-90 + 18x) + -1x * (-5 + x)) 280 = (-90 + 18x + (-5 * -1x + x * -1x)) 280 = (-90 + 18x + (5x + -1x2)) Combine like terms: 18x + 5x = 23x 280 = (-90 + 23x + -1x2) Solving 280 = -90 + 23x + -1x2 Solving for variable 'x'. Combine like terms: 280 + 90 = 370 370 + -23x + x2 = -90 + 23x + -1x2 + 90 + -23x + x2 Reorder the terms: 370 + -23x + x2 = -90 + 90 + 23x + -23x + -1x2 + x2 Combine like terms: -90 + 90 = 0 370 + -23x + x2 = 0 + 23x + -23x + -1x2 + x2 370 + -23x + x2 = 23x + -23x + -1x2 + x2 Combine like terms: 23x + -23x = 0 370 + -23x + x2 = 0 + -1x2 + x2 370 + -23x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 370 + -23x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-370' to each side of the equation. 370 + -23x + -370 + x2 = 0 + -370 Reorder the terms: 370 + -370 + -23x + x2 = 0 + -370 Combine like terms: 370 + -370 = 0 0 + -23x + x2 = 0 + -370 -23x + x2 = 0 + -370 Combine like terms: 0 + -370 = -370 -23x + x2 = -370 The x term is -23x. Take half its coefficient (-11.5). Square it (132.25) and add it to both sides. Add '132.25' to each side of the equation. -23x + 132.25 + x2 = -370 + 132.25 Reorder the terms: 132.25 + -23x + x2 = -370 + 132.25 Combine like terms: -370 + 132.25 = -237.75 132.25 + -23x + x2 = -237.75 Factor a perfect square on the left side: (x + -11.5)(x + -11.5) = -237.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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