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Simplifying 7x2 + -10x + 5 = 0 Reorder the terms: 5 + -10x + 7x2 = 0 Solving 5 + -10x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.7142857143 + -1.428571429x + x2 = 0 Move the constant term to the right: Add '-0.7142857143' to each side of the equation. 0.7142857143 + -1.428571429x + -0.7142857143 + x2 = 0 + -0.7142857143 Reorder the terms: 0.7142857143 + -0.7142857143 + -1.428571429x + x2 = 0 + -0.7142857143 Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000 0.0000000000 + -1.428571429x + x2 = 0 + -0.7142857143 -1.428571429x + x2 = 0 + -0.7142857143 Combine like terms: 0 + -0.7142857143 = -0.7142857143 -1.428571429x + x2 = -0.7142857143 The x term is -1.428571429x. Take half its coefficient (-0.7142857145). Square it (0.5102040819) and add it to both sides. Add '0.5102040819' to each side of the equation. -1.428571429x + 0.5102040819 + x2 = -0.7142857143 + 0.5102040819 Reorder the terms: 0.5102040819 + -1.428571429x + x2 = -0.7142857143 + 0.5102040819 Combine like terms: -0.7142857143 + 0.5102040819 = -0.2040816324 0.5102040819 + -1.428571429x + x2 = -0.2040816324 Factor a perfect square on the left side: (x + -0.7142857145)(x + -0.7142857145) = -0.2040816324 Can't calculate square root of the right side. The solution to this equation could not be determined.
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