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Simplifying 4x4 + 20x2 = -25 Reorder the terms: 20x2 + 4x4 = -25 Solving 20x2 + 4x4 = -25 Solving for variable 'x'. Reorder the terms: 25 + 20x2 + 4x4 = -25 + 25 Combine like terms: -25 + 25 = 0 25 + 20x2 + 4x4 = 0 Factor a trinomial. (5 + 2x2)(5 + 2x2) = 0Subproblem 1
Set the factor '(5 + 2x2)' equal to zero and attempt to solve: Simplifying 5 + 2x2 = 0 Solving 5 + 2x2 = 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 + 2x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x2 = 0 + -5 2x2 = 0 + -5 Combine like terms: 0 + -5 = -5 2x2 = -5 Divide each side by '2'. x2 = -2.5 Simplifying x2 = -2.5 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 '(5 + 2x2)' equal to zero and attempt to solve: Simplifying 5 + 2x2 = 0 Solving 5 + 2x2 = 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 + 2x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x2 = 0 + -5 2x2 = 0 + -5 Combine like terms: 0 + -5 = -5 2x2 = -5 Divide each side by '2'. x2 = -2.5 Simplifying x2 = -2.5 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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