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Simplifying 0 = 9x2 + -14x + 7 Reorder the terms: 0 = 7 + -14x + 9x2 Solving 0 = 7 + -14x + 9x2 Solving for variable 'x'. Combine like terms: 0 + -7 = -7 -7 + 14x + -9x2 = 7 + -14x + 9x2 + -7 + 14x + -9x2 Reorder the terms: -7 + 14x + -9x2 = 7 + -7 + -14x + 14x + 9x2 + -9x2 Combine like terms: 7 + -7 = 0 -7 + 14x + -9x2 = 0 + -14x + 14x + 9x2 + -9x2 -7 + 14x + -9x2 = -14x + 14x + 9x2 + -9x2 Combine like terms: -14x + 14x = 0 -7 + 14x + -9x2 = 0 + 9x2 + -9x2 -7 + 14x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -7 + 14x + -9x2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 0.7777777778 + -1.555555556x + x2 = 0 Move the constant term to the right: Add '-0.7777777778' to each side of the equation. 0.7777777778 + -1.555555556x + -0.7777777778 + x2 = 0 + -0.7777777778 Reorder the terms: 0.7777777778 + -0.7777777778 + -1.555555556x + x2 = 0 + -0.7777777778 Combine like terms: 0.7777777778 + -0.7777777778 = 0.0000000000 0.0000000000 + -1.555555556x + x2 = 0 + -0.7777777778 -1.555555556x + x2 = 0 + -0.7777777778 Combine like terms: 0 + -0.7777777778 = -0.7777777778 -1.555555556x + x2 = -0.7777777778 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 = -0.7777777778 + 0.6049382720 Reorder the terms: 0.6049382720 + -1.555555556x + x2 = -0.7777777778 + 0.6049382720 Combine like terms: -0.7777777778 + 0.6049382720 = -0.1728395058 0.6049382720 + -1.555555556x + x2 = -0.1728395058 Factor a perfect square on the left side: (x + -0.777777778)(x + -0.777777778) = -0.1728395058 Can't calculate square root of the right side. The solution to this equation could not be determined.
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