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Simplifying 9x2 + -14x + 10 = 0 Reorder the terms: 10 + -14x + 9x2 = 0 Solving 10 + -14x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.111111111 + -1.555555556x + x2 = 0 Move the constant term to the right: Add '-1.111111111' to each side of the equation. 1.111111111 + -1.555555556x + -1.111111111 + x2 = 0 + -1.111111111 Reorder the terms: 1.111111111 + -1.111111111 + -1.555555556x + x2 = 0 + -1.111111111 Combine like terms: 1.111111111 + -1.111111111 = 0.000000000 0.000000000 + -1.555555556x + x2 = 0 + -1.111111111 -1.555555556x + x2 = 0 + -1.111111111 Combine like terms: 0 + -1.111111111 = -1.111111111 -1.555555556x + x2 = -1.111111111 The x term is -1.555555556x. Take half its coefficient (-0.777777778). Square it (0.6049382720) and add it to both sides. Add '0.6049382720' to each side of the equation. -1.555555556x + 0.6049382720 + x2 = -1.111111111 + 0.6049382720 Reorder the terms: 0.6049382720 + -1.555555556x + x2 = -1.111111111 + 0.6049382720 Combine like terms: -1.111111111 + 0.6049382720 = -0.506172839 0.6049382720 + -1.555555556x + x2 = -0.506172839 Factor a perfect square on the left side: (x + -0.777777778)(x + -0.777777778) = -0.506172839 Can't calculate square root of the right side. The solution to this equation could not be determined.
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