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Simplifying 15x2 + -5x + 3 = 0 Reorder the terms: 3 + -5x + 15x2 = 0 Solving 3 + -5x + 15x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.2 + -0.3333333333x + x2 = 0 Move the constant term to the right: Add '-0.2' to each side of the equation. 0.2 + -0.3333333333x + -0.2 + x2 = 0 + -0.2 Reorder the terms: 0.2 + -0.2 + -0.3333333333x + x2 = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.3333333333x + x2 = 0 + -0.2 -0.3333333333x + x2 = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 -0.3333333333x + x2 = -0.2 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 = -0.2 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333x + x2 = -0.2 + 0.02777777779 Combine like terms: -0.2 + 0.02777777779 = -0.17222222221 0.02777777779 + -0.3333333333x + x2 = -0.17222222221 Factor a perfect square on the left side: (x + -0.1666666667)(x + -0.1666666667) = -0.17222222221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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