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Simplifying 35x2 + -32x + 104 = 0 Reorder the terms: 104 + -32x + 35x2 = 0 Solving 104 + -32x + 35x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 35 the coefficient of the squared term: Divide each side by '35'. 2.971428571 + -0.9142857143x + x2 = 0 Move the constant term to the right: Add '-2.971428571' to each side of the equation. 2.971428571 + -0.9142857143x + -2.971428571 + x2 = 0 + -2.971428571 Reorder the terms: 2.971428571 + -2.971428571 + -0.9142857143x + x2 = 0 + -2.971428571 Combine like terms: 2.971428571 + -2.971428571 = 0.000000000 0.000000000 + -0.9142857143x + x2 = 0 + -2.971428571 -0.9142857143x + x2 = 0 + -2.971428571 Combine like terms: 0 + -2.971428571 = -2.971428571 -0.9142857143x + x2 = -2.971428571 The x term is -0.9142857143x. Take half its coefficient (-0.4571428572). Square it (0.2089795919) and add it to both sides. Add '0.2089795919' to each side of the equation. -0.9142857143x + 0.2089795919 + x2 = -2.971428571 + 0.2089795919 Reorder the terms: 0.2089795919 + -0.9142857143x + x2 = -2.971428571 + 0.2089795919 Combine like terms: -2.971428571 + 0.2089795919 = -2.7624489791 0.2089795919 + -0.9142857143x + x2 = -2.7624489791 Factor a perfect square on the left side: (x + -0.4571428572)(x + -0.4571428572) = -2.7624489791 Can't calculate square root of the right side. The solution to this equation could not be determined.
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