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Simplifying 15x2 + 4x + 6 = 0 Reorder the terms: 6 + 4x + 15x2 = 0 Solving 6 + 4x + 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'. 0.4 + 0.2666666667x + x2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + 0.2666666667x + -0.4 + x2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + 0.2666666667x + x2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.2666666667x + x2 = 0 + -0.4 0.2666666667x + x2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 0.2666666667x + x2 = -0.4 The x term is 0.2666666667x. Take half its coefficient (0.1333333334). Square it (0.01777777780) and add it to both sides. Add '0.01777777780' to each side of the equation. 0.2666666667x + 0.01777777780 + x2 = -0.4 + 0.01777777780 Reorder the terms: 0.01777777780 + 0.2666666667x + x2 = -0.4 + 0.01777777780 Combine like terms: -0.4 + 0.01777777780 = -0.3822222222 0.01777777780 + 0.2666666667x + x2 = -0.3822222222 Factor a perfect square on the left side: (x + 0.1333333334)(x + 0.1333333334) = -0.3822222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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