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Simplifying 225x2 + 4x + 3 = 0 Reorder the terms: 3 + 4x + 225x2 = 0 Solving 3 + 4x + 225x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 225 the coefficient of the squared term: Divide each side by '225'. 0.01333333333 + 0.01777777778x + x2 = 0 Move the constant term to the right: Add '-0.01333333333' to each side of the equation. 0.01333333333 + 0.01777777778x + -0.01333333333 + x2 = 0 + -0.01333333333 Reorder the terms: 0.01333333333 + -0.01333333333 + 0.01777777778x + x2 = 0 + -0.01333333333 Combine like terms: 0.01333333333 + -0.01333333333 = 0.00000000000 0.00000000000 + 0.01777777778x + x2 = 0 + -0.01333333333 0.01777777778x + x2 = 0 + -0.01333333333 Combine like terms: 0 + -0.01333333333 = -0.01333333333 0.01777777778x + x2 = -0.01333333333 The x term is 0.01777777778x. Take half its coefficient (0.00888888889). Square it (0.00007901234570) and add it to both sides. Add '0.00007901234570' to each side of the equation. 0.01777777778x + 0.00007901234570 + x2 = -0.01333333333 + 0.00007901234570 Reorder the terms: 0.00007901234570 + 0.01777777778x + x2 = -0.01333333333 + 0.00007901234570 Combine like terms: -0.01333333333 + 0.00007901234570 = -0.0132543209843 0.00007901234570 + 0.01777777778x + x2 = -0.0132543209843 Factor a perfect square on the left side: (x + 0.00888888889)(x + 0.00888888889) = -0.0132543209843 Can't calculate square root of the right side. The solution to this equation could not be determined.
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