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Simplifying 9x4 = 3x2 + -25 Reorder the terms: 9x4 = -25 + 3x2 Solving 9x4 = -25 + 3x2 Solving for variable 'x'. Reorder the terms: 25 + -3x2 + 9x4 = -25 + 3x2 + 25 + -3x2 Reorder the terms: 25 + -3x2 + 9x4 = -25 + 25 + 3x2 + -3x2 Combine like terms: -25 + 25 = 0 25 + -3x2 + 9x4 = 0 + 3x2 + -3x2 25 + -3x2 + 9x4 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 25 + -3x2 + 9x4 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 2.777777778 + -0.3333333333x2 + x4 = 0 Move the constant term to the right: Add '-2.777777778' to each side of the equation. 2.777777778 + -0.3333333333x2 + -2.777777778 + x4 = 0 + -2.777777778 Reorder the terms: 2.777777778 + -2.777777778 + -0.3333333333x2 + x4 = 0 + -2.777777778 Combine like terms: 2.777777778 + -2.777777778 = 0.000000000 0.000000000 + -0.3333333333x2 + x4 = 0 + -2.777777778 -0.3333333333x2 + x4 = 0 + -2.777777778 Combine like terms: 0 + -2.777777778 = -2.777777778 -0.3333333333x2 + x4 = -2.777777778 The x term is -0.3333333333x2. Take half its coefficient (-0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. -0.3333333333x2 + 0.02777777779 + x4 = -2.777777778 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333x2 + x4 = -2.777777778 + 0.02777777779 Combine like terms: -2.777777778 + 0.02777777779 = -2.75000000021 0.02777777779 + -0.3333333333x2 + x4 = -2.75000000021 Factor a perfect square on the left side: (x2 + -0.1666666667)(x2 + -0.1666666667) = -2.75000000021 Can't calculate square root of the right side. The solution to this equation could not be determined.
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