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Simplifying 7x(xy3 + 2z) = 0 (xy3 * 7x + 2z * 7x) = 0 Reorder the terms: (14xz + 7x2y3) = 0 (14xz + 7x2y3) = 0 Solving 14xz + 7x2y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x'. 7x(2z + xy3) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(2z + xy3)' equal to zero and attempt to solve: Simplifying 2z + xy3 = 0 Reorder the terms: xy3 + 2z = 0 Solving xy3 + 2z = 0 Move all terms containing x to the left, all other terms to the right. Add '-2z' to each side of the equation. xy3 + 2z + -2z = 0 + -2z Combine like terms: 2z + -2z = 0 xy3 + 0 = 0 + -2z xy3 = 0 + -2z Remove the zero: xy3 = -2z Divide each side by 'y3'. x = -2y-3z Simplifying x = -2y-3zSolution
x = {0, -2y-3z}
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