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Simplifying 4x4 + 68x2 + 225 = 0 Reorder the terms: 225 + 68x2 + 4x4 = 0 Solving 225 + 68x2 + 4x4 = 0 Solving for variable 'x'. Factor a trinomial. (25 + 2x2)(9 + 2x2) = 0Subproblem 1
Set the factor '(25 + 2x2)' equal to zero and attempt to solve: Simplifying 25 + 2x2 = 0 Solving 25 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 2x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 2x2 = 0 + -25 2x2 = 0 + -25 Combine like terms: 0 + -25 = -25 2x2 = -25 Divide each side by '2'. x2 = -12.5 Simplifying x2 = -12.5 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 '(9 + 2x2)' equal to zero and attempt to solve: Simplifying 9 + 2x2 = 0 Solving 9 + 2x2 = 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 + 2x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x2 = 0 + -9 2x2 = 0 + -9 Combine like terms: 0 + -9 = -9 2x2 = -9 Divide each side by '2'. x2 = -4.5 Simplifying x2 = -4.5 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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