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Simplifying (x + -2)(x + -2) = -7 Reorder the terms: (-2 + x)(x + -2) = -7 Reorder the terms: (-2 + x)(-2 + x) = -7 Multiply (-2 + x) * (-2 + x) (-2(-2 + x) + x(-2 + x)) = -7 ((-2 * -2 + x * -2) + x(-2 + x)) = -7 ((4 + -2x) + x(-2 + x)) = -7 (4 + -2x + (-2 * x + x * x)) = -7 (4 + -2x + (-2x + x2)) = -7 Combine like terms: -2x + -2x = -4x (4 + -4x + x2) = -7 Solving 4 + -4x + x2 = -7 Solving for variable 'x'. Reorder the terms: 4 + 7 + -4x + x2 = -7 + 7 Combine like terms: 4 + 7 = 11 11 + -4x + x2 = -7 + 7 Combine like terms: -7 + 7 = 0 11 + -4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + -4x + -11 + x2 = 0 + -11 Reorder the terms: 11 + -11 + -4x + x2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4x + x2 = 0 + -11 -4x + x2 = 0 + -11 Combine like terms: 0 + -11 = -11 -4x + x2 = -11 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -11 + 4 Reorder the terms: 4 + -4x + x2 = -11 + 4 Combine like terms: -11 + 4 = -7 4 + -4x + x2 = -7 Factor a perfect square on the left side: (x + -2)(x + -2) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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