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Simplifying 3x(3x) + -3x + 4 = 0 Remove parenthesis around (3x) 3x * 3x + -3x + 4 = 0 Reorder the terms for easier multiplication: 3 * 3x * x + -3x + 4 = 0 Multiply 3 * 3 9x * x + -3x + 4 = 0 Multiply x * x 9x2 + -3x + 4 = 0 Reorder the terms: 4 + -3x + 9x2 = 0 Solving 4 + -3x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.4444444444 + -0.3333333333x + x2 = 0 Move the constant term to the right: Add '-0.4444444444' to each side of the equation. 0.4444444444 + -0.3333333333x + -0.4444444444 + x2 = 0 + -0.4444444444 Reorder the terms: 0.4444444444 + -0.4444444444 + -0.3333333333x + x2 = 0 + -0.4444444444 Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000 0.0000000000 + -0.3333333333x + x2 = 0 + -0.4444444444 -0.3333333333x + x2 = 0 + -0.4444444444 Combine like terms: 0 + -0.4444444444 = -0.4444444444 -0.3333333333x + x2 = -0.4444444444 The x term is -0.3333333333x. Take half its coefficient (-0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. -0.3333333333x + 0.02777777779 + x2 = -0.4444444444 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333x + x2 = -0.4444444444 + 0.02777777779 Combine like terms: -0.4444444444 + 0.02777777779 = -0.41666666661 0.02777777779 + -0.3333333333x + x2 = -0.41666666661 Factor a perfect square on the left side: (x + -0.1666666667)(x + -0.1666666667) = -0.41666666661 Can't calculate square root of the right side. The solution to this equation could not be determined.
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