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Simplifying 7x4 + 41x2 + 30 = 0 Reorder the terms: 30 + 41x2 + 7x4 = 0 Solving 30 + 41x2 + 7x4 = 0 Solving for variable 'x'. Factor a trinomial. (5 + x2)(6 + 7x2) = 0Subproblem 1
Set the factor '(5 + x2)' equal to zero and attempt to solve: Simplifying 5 + x2 = 0 Solving 5 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x2 = 0 + -5 x2 = 0 + -5 Combine like terms: 0 + -5 = -5 x2 = -5 Simplifying x2 = -5 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 '(6 + 7x2)' equal to zero and attempt to solve: Simplifying 6 + 7x2 = 0 Solving 6 + 7x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7x2 = 0 + -6 7x2 = 0 + -6 Combine like terms: 0 + -6 = -6 7x2 = -6 Divide each side by '7'. x2 = -0.8571428571 Simplifying x2 = -0.8571428571 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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