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Simplifying (2x2 + 9)(x2 + 9) = 0 Reorder the terms: (9 + 2x2)(x2 + 9) = 0 Reorder the terms: (9 + 2x2)(9 + x2) = 0 Multiply (9 + 2x2) * (9 + x2) (9(9 + x2) + 2x2 * (9 + x2)) = 0 ((9 * 9 + x2 * 9) + 2x2 * (9 + x2)) = 0 ((81 + 9x2) + 2x2 * (9 + x2)) = 0 (81 + 9x2 + (9 * 2x2 + x2 * 2x2)) = 0 (81 + 9x2 + (18x2 + 2x4)) = 0 Combine like terms: 9x2 + 18x2 = 27x2 (81 + 27x2 + 2x4) = 0 Solving 81 + 27x2 + 2x4 = 0 Solving for variable 'x'. Factor a trinomial. (9 + x2)(9 + 2x2) = 0Subproblem 1
Set the factor '(9 + x2)' equal to zero and attempt to solve: Simplifying 9 + x2 = 0 Solving 9 + x2 = 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 + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x2 = 0 + -9 x2 = 0 + -9 Combine like terms: 0 + -9 = -9 x2 = -9 Simplifying x2 = -9 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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