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Simplifying (25x2 + 4)(25x2 + 4) = 0 Reorder the terms: (4 + 25x2)(25x2 + 4) = 0 Reorder the terms: (4 + 25x2)(4 + 25x2) = 0 Multiply (4 + 25x2) * (4 + 25x2) (4(4 + 25x2) + 25x2 * (4 + 25x2)) = 0 ((4 * 4 + 25x2 * 4) + 25x2 * (4 + 25x2)) = 0 ((16 + 100x2) + 25x2 * (4 + 25x2)) = 0 (16 + 100x2 + (4 * 25x2 + 25x2 * 25x2)) = 0 (16 + 100x2 + (100x2 + 625x4)) = 0 Combine like terms: 100x2 + 100x2 = 200x2 (16 + 200x2 + 625x4) = 0 Solving 16 + 200x2 + 625x4 = 0 Solving for variable 'x'. Factor a trinomial. (4 + 25x2)(4 + 25x2) = 0Subproblem 1
Set the factor '(4 + 25x2)' equal to zero and attempt to solve: Simplifying 4 + 25x2 = 0 Solving 4 + 25x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 25x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 25x2 = 0 + -4 25x2 = 0 + -4 Combine like terms: 0 + -4 = -4 25x2 = -4 Divide each side by '25'. x2 = -0.16 Simplifying x2 = -0.16 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 '(4 + 25x2)' equal to zero and attempt to solve: Simplifying 4 + 25x2 = 0 Solving 4 + 25x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 25x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 25x2 = 0 + -4 25x2 = 0 + -4 Combine like terms: 0 + -4 = -4 25x2 = -4 Divide each side by '25'. x2 = -0.16 Simplifying x2 = -0.16 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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