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Simplifying 21x4 + 80x2 + 64 = 0 Reorder the terms: 64 + 80x2 + 21x4 = 0 Solving 64 + 80x2 + 21x4 = 0 Solving for variable 'x'. Factor a trinomial. (8 + 3x2)(8 + 7x2) = 0Subproblem 1
Set the factor '(8 + 3x2)' equal to zero and attempt to solve: Simplifying 8 + 3x2 = 0 Solving 8 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3x2 = 0 + -8 3x2 = 0 + -8 Combine like terms: 0 + -8 = -8 3x2 = -8 Divide each side by '3'. x2 = -2.666666667 Simplifying x2 = -2.666666667 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(8 + 7x2)' equal to zero and attempt to solve: Simplifying 8 + 7x2 = 0 Solving 8 + 7x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7x2 = 0 + -8 7x2 = 0 + -8 Combine like terms: 0 + -8 = -8 7x2 = -8 Divide each side by '7'. x2 = -1.142857143 Simplifying x2 = -1.142857143 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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