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Simplifying (x2 + 3)(x2 + 2) = 0 Reorder the terms: (3 + x2)(x2 + 2) = 0 Reorder the terms: (3 + x2)(2 + x2) = 0 Multiply (3 + x2) * (2 + x2) (3(2 + x2) + x2(2 + x2)) = 0 ((2 * 3 + x2 * 3) + x2(2 + x2)) = 0 ((6 + 3x2) + x2(2 + x2)) = 0 (6 + 3x2 + (2 * x2 + x2 * x2)) = 0 (6 + 3x2 + (2x2 + x4)) = 0 Combine like terms: 3x2 + 2x2 = 5x2 (6 + 5x2 + x4) = 0 Solving 6 + 5x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (3 + x2)(2 + x2) = 0Subproblem 1
Set the factor '(3 + x2)' equal to zero and attempt to solve: Simplifying 3 + x2 = 0 Solving 3 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x2 = 0 + -3 x2 = 0 + -3 Combine like terms: 0 + -3 = -3 x2 = -3 Simplifying x2 = -3 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 '(2 + x2)' equal to zero and attempt to solve: Simplifying 2 + x2 = 0 Solving 2 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x2 = 0 + -2 x2 = 0 + -2 Combine like terms: 0 + -2 = -2 x2 = -2 Simplifying x2 = -2 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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