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Simplifying 15x * x + 2x + 14 = 5 Multiply x * x 15x2 + 2x + 14 = 5 Reorder the terms: 14 + 2x + 15x2 = 5 Solving 14 + 2x + 15x2 = 5 Solving for variable 'x'. Reorder the terms: 14 + -5 + 2x + 15x2 = 5 + -5 Combine like terms: 14 + -5 = 9 9 + 2x + 15x2 = 5 + -5 Combine like terms: 5 + -5 = 0 9 + 2x + 15x2 = 0 Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.6 + 0.1333333333x + x2 = 0 Move the constant term to the right: Add '-0.6' to each side of the equation. 0.6 + 0.1333333333x + -0.6 + x2 = 0 + -0.6 Reorder the terms: 0.6 + -0.6 + 0.1333333333x + x2 = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.1333333333x + x2 = 0 + -0.6 0.1333333333x + x2 = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 0.1333333333x + x2 = -0.6 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 = -0.6 + 0.004444444442 Reorder the terms: 0.004444444442 + 0.1333333333x + x2 = -0.6 + 0.004444444442 Combine like terms: -0.6 + 0.004444444442 = -0.595555555558 0.004444444442 + 0.1333333333x + x2 = -0.595555555558 Factor a perfect square on the left side: (x + 0.06666666665)(x + 0.06666666665) = -0.595555555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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