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Simplifying -5x2(xy + z) = 0 (xy * -5x2 + z * -5x2) = 0 Reorder the terms: (-5x2z + -5x3y) = 0 (-5x2z + -5x3y) = 0 Solving -5x2z + -5x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-5x2'. -5x2(z + xy) = 0 Ignore the factor -5.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(z + xy)' equal to zero and attempt to solve: Simplifying z + xy = 0 Reorder the terms: xy + z = 0 Solving xy + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1z' to each side of the equation. xy + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 xy + 0 = 0 + -1z xy = 0 + -1z Remove the zero: xy = -1z Divide each side by 'y'. x = -1y-1z Simplifying x = -1y-1zSolution
x = {0, -1y-1z}
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