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Simplifying (x2 + 5)(x2 + 4) = 0 Reorder the terms: (5 + x2)(x2 + 4) = 0 Reorder the terms: (5 + x2)(4 + x2) = 0 Multiply (5 + x2) * (4 + x2) (5(4 + x2) + x2(4 + x2)) = 0 ((4 * 5 + x2 * 5) + x2(4 + x2)) = 0 ((20 + 5x2) + x2(4 + x2)) = 0 (20 + 5x2 + (4 * x2 + x2 * x2)) = 0 (20 + 5x2 + (4x2 + x4)) = 0 Combine like terms: 5x2 + 4x2 = 9x2 (20 + 9x2 + x4) = 0 Solving 20 + 9x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (5 + x2)(4 + x2) = 0Subproblem 1
Set the factor '(5 + x2)' equal to zero and attempt to solve: Simplifying 5 + x2 = 0 Solving 5 + x2 = 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 + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x2 = 0 + -5 x2 = 0 + -5 Combine like terms: 0 + -5 = -5 x2 = -5 Simplifying x2 = -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 '(4 + x2)' equal to zero and attempt to solve: Simplifying 4 + x2 = 0 Solving 4 + x2 = 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 + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x2 = 0 + -4 x2 = 0 + -4 Combine like terms: 0 + -4 = -4 x2 = -4 Simplifying x2 = -4 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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