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Simplifying (x + -3)(x + -3) + 4x = 0 Reorder the terms: (-3 + x)(x + -3) + 4x = 0 Reorder the terms: (-3 + x)(-3 + x) + 4x = 0 Multiply (-3 + x) * (-3 + x) (-3(-3 + x) + x(-3 + x)) + 4x = 0 ((-3 * -3 + x * -3) + x(-3 + x)) + 4x = 0 ((9 + -3x) + x(-3 + x)) + 4x = 0 (9 + -3x + (-3 * x + x * x)) + 4x = 0 (9 + -3x + (-3x + x2)) + 4x = 0 Combine like terms: -3x + -3x = -6x (9 + -6x + x2) + 4x = 0 Reorder the terms: 9 + -6x + 4x + x2 = 0 Combine like terms: -6x + 4x = -2x 9 + -2x + x2 = 0 Solving 9 + -2x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + -2x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -2x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x + x2 = 0 + -9 -2x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -2x + x2 = -9 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -9 + 1 Reorder the terms: 1 + -2x + x2 = -9 + 1 Combine like terms: -9 + 1 = -8 1 + -2x + x2 = -8 Factor a perfect square on the left side: (x + -1)(x + -1) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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