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Simplifying (9x2 + 5)(9x2 + 5) = 0 Reorder the terms: (5 + 9x2)(9x2 + 5) = 0 Reorder the terms: (5 + 9x2)(5 + 9x2) = 0 Multiply (5 + 9x2) * (5 + 9x2) (5(5 + 9x2) + 9x2 * (5 + 9x2)) = 0 ((5 * 5 + 9x2 * 5) + 9x2 * (5 + 9x2)) = 0 ((25 + 45x2) + 9x2 * (5 + 9x2)) = 0 (25 + 45x2 + (5 * 9x2 + 9x2 * 9x2)) = 0 (25 + 45x2 + (45x2 + 81x4)) = 0 Combine like terms: 45x2 + 45x2 = 90x2 (25 + 90x2 + 81x4) = 0 Solving 25 + 90x2 + 81x4 = 0 Solving for variable 'x'. Factor a trinomial. (5 + 9x2)(5 + 9x2) = 0Subproblem 1
Set the factor '(5 + 9x2)' equal to zero and attempt to solve: Simplifying 5 + 9x2 = 0 Solving 5 + 9x2 = 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 + 9x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9x2 = 0 + -5 9x2 = 0 + -5 Combine like terms: 0 + -5 = -5 9x2 = -5 Divide each side by '9'. x2 = -0.5555555556 Simplifying x2 = -0.5555555556 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 + 9x2)' equal to zero and attempt to solve: Simplifying 5 + 9x2 = 0 Solving 5 + 9x2 = 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 + 9x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9x2 = 0 + -5 9x2 = 0 + -5 Combine like terms: 0 + -5 = -5 9x2 = -5 Divide each side by '9'. x2 = -0.5555555556 Simplifying x2 = -0.5555555556 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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