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Simplifying 5x4 + 49x2 + 72 = 0 Reorder the terms: 72 + 49x2 + 5x4 = 0 Solving 72 + 49x2 + 5x4 = 0 Solving for variable 'x'. Factor a trinomial. (8 + x2)(9 + 5x2) = 0Subproblem 1
Set the factor '(8 + x2)' equal to zero and attempt to solve: Simplifying 8 + x2 = 0 Solving 8 + x2 = 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 + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x2 = 0 + -8 x2 = 0 + -8 Combine like terms: 0 + -8 = -8 x2 = -8 Simplifying x2 = -8 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 '(9 + 5x2)' equal to zero and attempt to solve: Simplifying 9 + 5x2 = 0 Solving 9 + 5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5x2 = 0 + -9 5x2 = 0 + -9 Combine like terms: 0 + -9 = -9 5x2 = -9 Divide each side by '5'. x2 = -1.8 Simplifying x2 = -1.8 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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