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Simplifying 49x2 = 37x + -35 Reorder the terms: 49x2 = -35 + 37x Solving 49x2 = -35 + 37x Solving for variable 'x'. Reorder the terms: 35 + -37x + 49x2 = -35 + 37x + 35 + -37x Reorder the terms: 35 + -37x + 49x2 = -35 + 35 + 37x + -37x Combine like terms: -35 + 35 = 0 35 + -37x + 49x2 = 0 + 37x + -37x 35 + -37x + 49x2 = 37x + -37x Combine like terms: 37x + -37x = 0 35 + -37x + 49x2 = 0 Begin completing the square. Divide all terms by 49 the coefficient of the squared term: Divide each side by '49'. 0.7142857143 + -0.7551020408x + x2 = 0 Move the constant term to the right: Add '-0.7142857143' to each side of the equation. 0.7142857143 + -0.7551020408x + -0.7142857143 + x2 = 0 + -0.7142857143 Reorder the terms: 0.7142857143 + -0.7142857143 + -0.7551020408x + x2 = 0 + -0.7142857143 Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000 0.0000000000 + -0.7551020408x + x2 = 0 + -0.7142857143 -0.7551020408x + x2 = 0 + -0.7142857143 Combine like terms: 0 + -0.7142857143 = -0.7142857143 -0.7551020408x + x2 = -0.7142857143 The x term is -0.7551020408x. Take half its coefficient (-0.3775510204). Square it (0.1425447730) and add it to both sides. Add '0.1425447730' to each side of the equation. -0.7551020408x + 0.1425447730 + x2 = -0.7142857143 + 0.1425447730 Reorder the terms: 0.1425447730 + -0.7551020408x + x2 = -0.7142857143 + 0.1425447730 Combine like terms: -0.7142857143 + 0.1425447730 = -0.5717409413 0.1425447730 + -0.7551020408x + x2 = -0.5717409413 Factor a perfect square on the left side: (x + -0.3775510204)(x + -0.3775510204) = -0.5717409413 Can't calculate square root of the right side. The solution to this equation could not be determined.
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