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Simplifying 9x8 + -33x4 + -28 = 0 Reorder the terms: -28 + -33x4 + 9x8 = 0 Solving -28 + -33x4 + 9x8 = 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'. -3.111111111 + -3.666666667x4 + x8 = 0 Move the constant term to the right: Add '3.111111111' to each side of the equation. -3.111111111 + -3.666666667x4 + 3.111111111 + x8 = 0 + 3.111111111 Reorder the terms: -3.111111111 + 3.111111111 + -3.666666667x4 + x8 = 0 + 3.111111111 Combine like terms: -3.111111111 + 3.111111111 = 0.000000000 0.000000000 + -3.666666667x4 + x8 = 0 + 3.111111111 -3.666666667x4 + x8 = 0 + 3.111111111 Combine like terms: 0 + 3.111111111 = 3.111111111 -3.666666667x4 + x8 = 3.111111111 The x term is -3.666666667x4. Take half its coefficient (-1.833333334). Square it (3.361111114) and add it to both sides. Add '3.361111114' to each side of the equation. -3.666666667x4 + 3.361111114 + x8 = 3.111111111 + 3.361111114 Reorder the terms: 3.361111114 + -3.666666667x4 + x8 = 3.111111111 + 3.361111114 Combine like terms: 3.111111111 + 3.361111114 = 6.472222225 3.361111114 + -3.666666667x4 + x8 = 6.472222225 Factor a perfect square on the left side: (x4 + -1.833333334)(x4 + -1.833333334) = 6.472222225 Calculate the square root of the right side: 2.544056254 Break this problem into two subproblems by setting (x4 + -1.833333334) equal to 2.544056254 and -2.544056254.Subproblem 1
x4 + -1.833333334 = 2.544056254 Simplifying x4 + -1.833333334 = 2.544056254 Reorder the terms: -1.833333334 + x4 = 2.544056254 Solving -1.833333334 + x4 = 2.544056254 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.833333334' to each side of the equation. -1.833333334 + 1.833333334 + x4 = 2.544056254 + 1.833333334 Combine like terms: -1.833333334 + 1.833333334 = 0.000000000 0.000000000 + x4 = 2.544056254 + 1.833333334 x4 = 2.544056254 + 1.833333334 Combine like terms: 2.544056254 + 1.833333334 = 4.377389588 x4 = 4.377389588 Simplifying x4 = 4.377389588 Reorder the terms: -4.377389588 + x4 = 4.377389588 + -4.377389588 Combine like terms: 4.377389588 + -4.377389588 = 0.000000000 -4.377389588 + x4 = 0.000000000 The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined.Subproblem 2
x4 + -1.833333334 = -2.544056254 Simplifying x4 + -1.833333334 = -2.544056254 Reorder the terms: -1.833333334 + x4 = -2.544056254 Solving -1.833333334 + x4 = -2.544056254 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.833333334' to each side of the equation. -1.833333334 + 1.833333334 + x4 = -2.544056254 + 1.833333334 Combine like terms: -1.833333334 + 1.833333334 = 0.000000000 0.000000000 + x4 = -2.544056254 + 1.833333334 x4 = -2.544056254 + 1.833333334 Combine like terms: -2.544056254 + 1.833333334 = -0.71072292 x4 = -0.71072292 Simplifying x4 = -0.71072292 Reorder the terms: 0.71072292 + x4 = -0.71072292 + 0.71072292 Combine like terms: -0.71072292 + 0.71072292 = 0.00000000 0.71072292 + x4 = 0.00000000 The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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