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Simplifying (x + -5)(x + 2) = -13 Reorder the terms: (-5 + x)(x + 2) = -13 Reorder the terms: (-5 + x)(2 + x) = -13 Multiply (-5 + x) * (2 + x) (-5(2 + x) + x(2 + x)) = -13 ((2 * -5 + x * -5) + x(2 + x)) = -13 ((-10 + -5x) + x(2 + x)) = -13 (-10 + -5x + (2 * x + x * x)) = -13 (-10 + -5x + (2x + x2)) = -13 Combine like terms: -5x + 2x = -3x (-10 + -3x + x2) = -13 Solving -10 + -3x + x2 = -13 Solving for variable 'x'. Reorder the terms: -10 + 13 + -3x + x2 = -13 + 13 Combine like terms: -10 + 13 = 3 3 + -3x + x2 = -13 + 13 Combine like terms: -13 + 13 = 0 3 + -3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-3' to each side of the equation. 3 + -3x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + -3x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3x + x2 = 0 + -3 -3x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -3x + x2 = -3 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 = -3 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -3 + 2.25 Combine like terms: -3 + 2.25 = -0.75 2.25 + -3x + x2 = -0.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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