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Simplifying 24xy2 + 12xy2z + -18x3y2 = 0 Solving 24xy2 + 12xy2z + -18x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6xy2'. 6xy2(4 + 2z + -3x2) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve: Simplifying xy2 = 0 Solving xy2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2 = 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 '(4 + 2z + -3x2)' equal to zero and attempt to solve: Simplifying 4 + 2z + -3x2 = 0 Reorder the terms: 4 + -3x2 + 2z = 0 Solving 4 + -3x2 + 2z = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -3x2 + -4 + 2z = 0 + -4 Reorder the terms: 4 + -4 + -3x2 + 2z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x2 + 2z = 0 + -4 -3x2 + 2z = 0 + -4 Combine like terms: 0 + -4 = -4 -3x2 + 2z = -4 Add '-2z' to each side of the equation. -3x2 + 2z + -2z = -4 + -2z Combine like terms: 2z + -2z = 0 -3x2 + 0 = -4 + -2z -3x2 = -4 + -2z Divide each side by '-3'. x2 = 1.333333333 + 0.6666666667z Simplifying x2 = 1.333333333 + 0.6666666667z 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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