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Simplifying x2 + -21x + 450 = 0 Reorder the terms: 450 + -21x + x2 = 0 Solving 450 + -21x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-450' to each side of the equation. 450 + -21x + -450 + x2 = 0 + -450 Reorder the terms: 450 + -450 + -21x + x2 = 0 + -450 Combine like terms: 450 + -450 = 0 0 + -21x + x2 = 0 + -450 -21x + x2 = 0 + -450 Combine like terms: 0 + -450 = -450 -21x + x2 = -450 The x term is -21x. Take half its coefficient (-10.5). Square it (110.25) and add it to both sides. Add '110.25' to each side of the equation. -21x + 110.25 + x2 = -450 + 110.25 Reorder the terms: 110.25 + -21x + x2 = -450 + 110.25 Combine like terms: -450 + 110.25 = -339.75 110.25 + -21x + x2 = -339.75 Factor a perfect square on the left side: (x + -10.5)(x + -10.5) = -339.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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