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Simplifying (x + -2)(x + -2) = -25 Reorder the terms: (-2 + x)(x + -2) = -25 Reorder the terms: (-2 + x)(-2 + x) = -25 Multiply (-2 + x) * (-2 + x) (-2(-2 + x) + x(-2 + x)) = -25 ((-2 * -2 + x * -2) + x(-2 + x)) = -25 ((4 + -2x) + x(-2 + x)) = -25 (4 + -2x + (-2 * x + x * x)) = -25 (4 + -2x + (-2x + x2)) = -25 Combine like terms: -2x + -2x = -4x (4 + -4x + x2) = -25 Solving 4 + -4x + x2 = -25 Solving for variable 'x'. Reorder the terms: 4 + 25 + -4x + x2 = -25 + 25 Combine like terms: 4 + 25 = 29 29 + -4x + x2 = -25 + 25 Combine like terms: -25 + 25 = 0 29 + -4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-29' to each side of the equation. 29 + -4x + -29 + x2 = 0 + -29 Reorder the terms: 29 + -29 + -4x + x2 = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -4x + x2 = 0 + -29 -4x + x2 = 0 + -29 Combine like terms: 0 + -29 = -29 -4x + x2 = -29 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 = -29 + 4 Reorder the terms: 4 + -4x + x2 = -29 + 4 Combine like terms: -29 + 4 = -25 4 + -4x + x2 = -25 Factor a perfect square on the left side: (x + -2)(x + -2) = -25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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