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Simplifying 15x2 + 2x + 8 = 0 Reorder the terms: 8 + 2x + 15x2 = 0 Solving 8 + 2x + 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'. 0.5333333333 + 0.1333333333x + x2 = 0 Move the constant term to the right: Add '-0.5333333333' to each side of the equation. 0.5333333333 + 0.1333333333x + -0.5333333333 + x2 = 0 + -0.5333333333 Reorder the terms: 0.5333333333 + -0.5333333333 + 0.1333333333x + x2 = 0 + -0.5333333333 Combine like terms: 0.5333333333 + -0.5333333333 = 0.0000000000 0.0000000000 + 0.1333333333x + x2 = 0 + -0.5333333333 0.1333333333x + x2 = 0 + -0.5333333333 Combine like terms: 0 + -0.5333333333 = -0.5333333333 0.1333333333x + x2 = -0.5333333333 The x term is 0.1333333333x. Take half its coefficient (0.06666666665). Square it (0.004444444442) and add it to both sides. Add '0.004444444442' to each side of the equation. 0.1333333333x + 0.004444444442 + x2 = -0.5333333333 + 0.004444444442 Reorder the terms: 0.004444444442 + 0.1333333333x + x2 = -0.5333333333 + 0.004444444442 Combine like terms: -0.5333333333 + 0.004444444442 = -0.528888888858 0.004444444442 + 0.1333333333x + x2 = -0.528888888858 Factor a perfect square on the left side: (x + 0.06666666665)(x + 0.06666666665) = -0.528888888858 Can't calculate square root of the right side. The solution to this equation could not be determined.
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