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Simplifying (2 + -3x3)(x3 + 8) = 0 Reorder the terms: (2 + -3x3)(8 + x3) = 0 Multiply (2 + -3x3) * (8 + x3) (2(8 + x3) + -3x3 * (8 + x3)) = 0 ((8 * 2 + x3 * 2) + -3x3 * (8 + x3)) = 0 ((16 + 2x3) + -3x3 * (8 + x3)) = 0 (16 + 2x3 + (8 * -3x3 + x3 * -3x3)) = 0 (16 + 2x3 + (-24x3 + -3x6)) = 0 Combine like terms: 2x3 + -24x3 = -22x3 (16 + -22x3 + -3x6) = 0 Solving 16 + -22x3 + -3x6 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -3x3)(8 + x3) = 0Subproblem 1
Set the factor '(2 + -3x3)' equal to zero and attempt to solve: Simplifying 2 + -3x3 = 0 Solving 2 + -3x3 = 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 + -3x3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x3 = 0 + -2 -3x3 = 0 + -2 Combine like terms: 0 + -2 = -2 -3x3 = -2 Divide each side by '-3'. x3 = 0.6666666667 Simplifying x3 = 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 '(8 + x3)' equal to zero and attempt to solve: Simplifying 8 + x3 = 0 Solving 8 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x3 = 0 + -8 x3 = 0 + -8 Combine like terms: 0 + -8 = -8 x3 = -8 Simplifying x3 = -8 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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