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Simplifying (6x6 + 5x3 + -7) + (9x6 + -9x3 + 9) = 0 Reorder the terms: (-7 + 5x3 + 6x6) + (9x6 + -9x3 + 9) = 0 Remove parenthesis around (-7 + 5x3 + 6x6) -7 + 5x3 + 6x6 + (9x6 + -9x3 + 9) = 0 Reorder the terms: -7 + 5x3 + 6x6 + (9 + -9x3 + 9x6) = 0 Remove parenthesis around (9 + -9x3 + 9x6) -7 + 5x3 + 6x6 + 9 + -9x3 + 9x6 = 0 Reorder the terms: -7 + 9 + 5x3 + -9x3 + 6x6 + 9x6 = 0 Combine like terms: -7 + 9 = 2 2 + 5x3 + -9x3 + 6x6 + 9x6 = 0 Combine like terms: 5x3 + -9x3 = -4x3 2 + -4x3 + 6x6 + 9x6 = 0 Combine like terms: 6x6 + 9x6 = 15x6 2 + -4x3 + 15x6 = 0 Solving 2 + -4x3 + 15x6 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.1333333333 + -0.2666666667x3 + x6 = 0 Move the constant term to the right: Add '-0.1333333333' to each side of the equation. 0.1333333333 + -0.2666666667x3 + -0.1333333333 + x6 = 0 + -0.1333333333 Reorder the terms: 0.1333333333 + -0.1333333333 + -0.2666666667x3 + x6 = 0 + -0.1333333333 Combine like terms: 0.1333333333 + -0.1333333333 = 0.0000000000 0.0000000000 + -0.2666666667x3 + x6 = 0 + -0.1333333333 -0.2666666667x3 + x6 = 0 + -0.1333333333 Combine like terms: 0 + -0.1333333333 = -0.1333333333 -0.2666666667x3 + x6 = -0.1333333333 The x term is -0.2666666667x3. Take half its coefficient (-0.1333333334). Square it (0.01777777780) and add it to both sides. Add '0.01777777780' to each side of the equation. -0.2666666667x3 + 0.01777777780 + x6 = -0.1333333333 + 0.01777777780 Reorder the terms: 0.01777777780 + -0.2666666667x3 + x6 = -0.1333333333 + 0.01777777780 Combine like terms: -0.1333333333 + 0.01777777780 = -0.1155555555 0.01777777780 + -0.2666666667x3 + x6 = -0.1155555555 Factor a perfect square on the left side: (x3 + -0.1333333334)(x3 + -0.1333333334) = -0.1155555555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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