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Simplifying 3xy(x2 + 5)(x2 + 1) = 0 Reorder the terms: 3xy(5 + x2)(x2 + 1) = 0 Reorder the terms: 3xy(5 + x2)(1 + x2) = 0 Multiply (5 + x2) * (1 + x2) 3xy(5(1 + x2) + x2(1 + x2)) = 0 3xy((1 * 5 + x2 * 5) + x2(1 + x2)) = 0 3xy((5 + 5x2) + x2(1 + x2)) = 0 3xy(5 + 5x2 + (1 * x2 + x2 * x2)) = 0 3xy(5 + 5x2 + (1x2 + x4)) = 0 Combine like terms: 5x2 + 1x2 = 6x2 3xy(5 + 6x2 + x4) = 0 (5 * 3xy + 6x2 * 3xy + x4 * 3xy) = 0 (15xy + 18x3y + 3x5y) = 0 Solving 15xy + 18x3y + 3x5y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xy'. 3xy(5 + 6x2 + x4) = 0 Factor a trinomial. 3xy((5 + x2)(1 + x2)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 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 '(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 3
Set the factor '(1 + x2)' equal to zero and attempt to solve: Simplifying 1 + x2 = 0 Solving 1 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x2 = 0 + -1 x2 = 0 + -1 Combine like terms: 0 + -1 = -1 x2 = -1 Simplifying x2 = -1 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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