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Simplifying 3x2 + -32x + 180 = 0 Reorder the terms: 180 + -32x + 3x2 = 0 Solving 180 + -32x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 60 + -10.66666667x + x2 = 0 Move the constant term to the right: Add '-60' to each side of the equation. 60 + -10.66666667x + -60 + x2 = 0 + -60 Reorder the terms: 60 + -60 + -10.66666667x + x2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -10.66666667x + x2 = 0 + -60 -10.66666667x + x2 = 0 + -60 Combine like terms: 0 + -60 = -60 -10.66666667x + x2 = -60 The x term is -10.66666667x. Take half its coefficient (-5.333333335). Square it (28.44444446) and add it to both sides. Add '28.44444446' to each side of the equation. -10.66666667x + 28.44444446 + x2 = -60 + 28.44444446 Reorder the terms: 28.44444446 + -10.66666667x + x2 = -60 + 28.44444446 Combine like terms: -60 + 28.44444446 = -31.55555554 28.44444446 + -10.66666667x + x2 = -31.55555554 Factor a perfect square on the left side: (x + -5.333333335)(x + -5.333333335) = -31.55555554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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