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Simplifying x2 + -6x + 9 = -21 Reorder the terms: 9 + -6x + x2 = -21 Solving 9 + -6x + x2 = -21 Solving for variable 'x'. Reorder the terms: 9 + 21 + -6x + x2 = -21 + 21 Combine like terms: 9 + 21 = 30 30 + -6x + x2 = -21 + 21 Combine like terms: -21 + 21 = 0 30 + -6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + -6x + -30 + x2 = 0 + -30 Reorder the terms: 30 + -30 + -6x + x2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -6x + x2 = 0 + -30 -6x + x2 = 0 + -30 Combine like terms: 0 + -30 = -30 -6x + x2 = -30 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 = -30 + 9 Reorder the terms: 9 + -6x + x2 = -30 + 9 Combine like terms: -30 + 9 = -21 9 + -6x + x2 = -21 Factor a perfect square on the left side: (x + -3)(x + -3) = -21 Can't calculate square root of the right side. The solution to this equation could not be determined.
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