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Simplifying (X + 2)(X + -5) = -18 Reorder the terms: (2 + X)(X + -5) = -18 Reorder the terms: (2 + X)(-5 + X) = -18 Multiply (2 + X) * (-5 + X) (2(-5 + X) + X(-5 + X)) = -18 ((-5 * 2 + X * 2) + X(-5 + X)) = -18 ((-10 + 2X) + X(-5 + X)) = -18 (-10 + 2X + (-5 * X + X * X)) = -18 (-10 + 2X + (-5X + X2)) = -18 Combine like terms: 2X + -5X = -3X (-10 + -3X + X2) = -18 Solving -10 + -3X + X2 = -18 Solving for variable 'X'. Reorder the terms: -10 + 18 + -3X + X2 = -18 + 18 Combine like terms: -10 + 18 = 8 8 + -3X + X2 = -18 + 18 Combine like terms: -18 + 18 = 0 8 + -3X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + -3X + -8 + X2 = 0 + -8 Reorder the terms: 8 + -8 + -3X + X2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3X + X2 = 0 + -8 -3X + X2 = 0 + -8 Combine like terms: 0 + -8 = -8 -3X + X2 = -8 The X term is -3X. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3X + 2.25 + X2 = -8 + 2.25 Reorder the terms: 2.25 + -3X + X2 = -8 + 2.25 Combine like terms: -8 + 2.25 = -5.75 2.25 + -3X + X2 = -5.75 Factor a perfect square on the left side: (X + -1.5)(X + -1.5) = -5.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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