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Simplifying (X + -3)(X + -3) = -5 Reorder the terms: (-3 + X)(X + -3) = -5 Reorder the terms: (-3 + X)(-3 + X) = -5 Multiply (-3 + X) * (-3 + X) (-3(-3 + X) + X(-3 + X)) = -5 ((-3 * -3 + X * -3) + X(-3 + X)) = -5 ((9 + -3X) + X(-3 + X)) = -5 (9 + -3X + (-3 * X + X * X)) = -5 (9 + -3X + (-3X + X2)) = -5 Combine like terms: -3X + -3X = -6X (9 + -6X + X2) = -5 Solving 9 + -6X + X2 = -5 Solving for variable 'X'. Reorder the terms: 9 + 5 + -6X + X2 = -5 + 5 Combine like terms: 9 + 5 = 14 14 + -6X + X2 = -5 + 5 Combine like terms: -5 + 5 = 0 14 + -6X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + -6X + -14 + X2 = 0 + -14 Reorder the terms: 14 + -14 + -6X + X2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -6X + X2 = 0 + -14 -6X + X2 = 0 + -14 Combine like terms: 0 + -14 = -14 -6X + X2 = -14 The X term is -6X. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6X + 9 + X2 = -14 + 9 Reorder the terms: 9 + -6X + X2 = -14 + 9 Combine like terms: -14 + 9 = -5 9 + -6X + X2 = -5 Factor a perfect square on the left side: (X + -3)(X + -3) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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