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Simplifying 9x4 + 42x2 + 49 = 0 Reorder the terms: 49 + 42x2 + 9x4 = 0 Solving 49 + 42x2 + 9x4 = 0 Solving for variable 'x'. Factor a trinomial. (7 + 3x2)(7 + 3x2) = 0Subproblem 1
Set the factor '(7 + 3x2)' equal to zero and attempt to solve: Simplifying 7 + 3x2 = 0 Solving 7 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x2 = 0 + -7 3x2 = 0 + -7 Combine like terms: 0 + -7 = -7 3x2 = -7 Divide each side by '3'. x2 = -2.333333333 Simplifying x2 = -2.333333333 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 '(7 + 3x2)' equal to zero and attempt to solve: Simplifying 7 + 3x2 = 0 Solving 7 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x2 = 0 + -7 3x2 = 0 + -7 Combine like terms: 0 + -7 = -7 3x2 = -7 Divide each side by '3'. x2 = -2.333333333 Simplifying x2 = -2.333333333 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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