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Simplifying 2xy(5x + -2y + 3z) = 0 (5x * 2xy + -2y * 2xy + 3z * 2xy) = 0 Reorder the terms: (6xyz + -4xy2 + 10x2y) = 0 (6xyz + -4xy2 + 10x2y) = 0 Solving 6xyz + -4xy2 + 10x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(3z + -2y + 5x) = 0 Ignore the factor 2.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 '(3z + -2y + 5x)' equal to zero and attempt to solve: Simplifying 3z + -2y + 5x = 0 Reorder the terms: 5x + -2y + 3z = 0 Solving 5x + -2y + 3z = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 5x + -2y + 2y + 3z = 0 + 2y Combine like terms: -2y + 2y = 0 5x + 0 + 3z = 0 + 2y 5x + 3z = 0 + 2y Remove the zero: 5x + 3z = 2y Add '-3z' to each side of the equation. 5x + 3z + -3z = 2y + -3z Combine like terms: 3z + -3z = 0 5x + 0 = 2y + -3z 5x = 2y + -3z Divide each side by '5'. x = 0.4y + -0.6z Simplifying x = 0.4y + -0.6zSolution
x = {0.4y + -0.6z}
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