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Simplifying 35x2 + 83x + 54 = 0 Reorder the terms: 54 + 83x + 35x2 = 0 Solving 54 + 83x + 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'. 1.542857143 + 2.371428571x + x2 = 0 Move the constant term to the right: Add '-1.542857143' to each side of the equation. 1.542857143 + 2.371428571x + -1.542857143 + x2 = 0 + -1.542857143 Reorder the terms: 1.542857143 + -1.542857143 + 2.371428571x + x2 = 0 + -1.542857143 Combine like terms: 1.542857143 + -1.542857143 = 0.000000000 0.000000000 + 2.371428571x + x2 = 0 + -1.542857143 2.371428571x + x2 = 0 + -1.542857143 Combine like terms: 0 + -1.542857143 = -1.542857143 2.371428571x + x2 = -1.542857143 The x term is 2.371428571x. Take half its coefficient (1.185714286). Square it (1.405918368) and add it to both sides. Add '1.405918368' to each side of the equation. 2.371428571x + 1.405918368 + x2 = -1.542857143 + 1.405918368 Reorder the terms: 1.405918368 + 2.371428571x + x2 = -1.542857143 + 1.405918368 Combine like terms: -1.542857143 + 1.405918368 = -0.136938775 1.405918368 + 2.371428571x + x2 = -0.136938775 Factor a perfect square on the left side: (x + 1.185714286)(x + 1.185714286) = -0.136938775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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