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Simplifying 3x2 + -32x + 147 = 0 Reorder the terms: 147 + -32x + 3x2 = 0 Solving 147 + -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'. 49 + -10.66666667x + x2 = 0 Move the constant term to the right: Add '-49' to each side of the equation. 49 + -10.66666667x + -49 + x2 = 0 + -49 Reorder the terms: 49 + -49 + -10.66666667x + x2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -10.66666667x + x2 = 0 + -49 -10.66666667x + x2 = 0 + -49 Combine like terms: 0 + -49 = -49 -10.66666667x + x2 = -49 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 = -49 + 28.44444446 Reorder the terms: 28.44444446 + -10.66666667x + x2 = -49 + 28.44444446 Combine like terms: -49 + 28.44444446 = -20.55555554 28.44444446 + -10.66666667x + x2 = -20.55555554 Factor a perfect square on the left side: (x + -5.333333335)(x + -5.333333335) = -20.55555554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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