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Simplifying (3x2 + 2)(3x2 + 2) = 0 Reorder the terms: (2 + 3x2)(3x2 + 2) = 0 Reorder the terms: (2 + 3x2)(2 + 3x2) = 0 Multiply (2 + 3x2) * (2 + 3x2) (2(2 + 3x2) + 3x2 * (2 + 3x2)) = 0 ((2 * 2 + 3x2 * 2) + 3x2 * (2 + 3x2)) = 0 ((4 + 6x2) + 3x2 * (2 + 3x2)) = 0 (4 + 6x2 + (2 * 3x2 + 3x2 * 3x2)) = 0 (4 + 6x2 + (6x2 + 9x4)) = 0 Combine like terms: 6x2 + 6x2 = 12x2 (4 + 12x2 + 9x4) = 0 Solving 4 + 12x2 + 9x4 = 0 Solving for variable 'x'. Factor a trinomial. (2 + 3x2)(2 + 3x2) = 0Subproblem 1
Set the factor '(2 + 3x2)' equal to zero and attempt to solve: Simplifying 2 + 3x2 = 0 Solving 2 + 3x2 = 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 + 3x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x2 = 0 + -2 3x2 = 0 + -2 Combine like terms: 0 + -2 = -2 3x2 = -2 Divide each side by '3'. x2 = -0.6666666667 Simplifying x2 = -0.6666666667 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 + 3x2)' equal to zero and attempt to solve: Simplifying 2 + 3x2 = 0 Solving 2 + 3x2 = 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 + 3x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x2 = 0 + -2 3x2 = 0 + -2 Combine like terms: 0 + -2 = -2 3x2 = -2 Divide each side by '3'. x2 = -0.6666666667 Simplifying x2 = -0.6666666667 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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