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Simplifying (x2 + 12)(x2 + 12) = 0 Reorder the terms: (12 + x2)(x2 + 12) = 0 Reorder the terms: (12 + x2)(12 + x2) = 0 Multiply (12 + x2) * (12 + x2) (12(12 + x2) + x2(12 + x2)) = 0 ((12 * 12 + x2 * 12) + x2(12 + x2)) = 0 ((144 + 12x2) + x2(12 + x2)) = 0 (144 + 12x2 + (12 * x2 + x2 * x2)) = 0 (144 + 12x2 + (12x2 + x4)) = 0 Combine like terms: 12x2 + 12x2 = 24x2 (144 + 24x2 + x4) = 0 Solving 144 + 24x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (12 + x2)(12 + x2) = 0Subproblem 1
Set the factor '(12 + x2)' equal to zero and attempt to solve: Simplifying 12 + x2 = 0 Solving 12 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x2 = 0 + -12 x2 = 0 + -12 Combine like terms: 0 + -12 = -12 x2 = -12 Simplifying x2 = -12 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 '(12 + x2)' equal to zero and attempt to solve: Simplifying 12 + x2 = 0 Solving 12 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x2 = 0 + -12 x2 = 0 + -12 Combine like terms: 0 + -12 = -12 x2 = -12 Simplifying x2 = -12 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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