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Simplifying 6x(x + 6y + 5z) = 0 (x * 6x + 6y * 6x + 5z * 6x) = 0 Reorder the terms: (36xy + 30xz + 6x2) = 0 (36xy + 30xz + 6x2) = 0 Solving 36xy + 30xz + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(6y + 5z + x) = 0 Ignore the factor 6.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 '(6y + 5z + x)' equal to zero and attempt to solve: Simplifying 6y + 5z + x = 0 Reorder the terms: x + 6y + 5z = 0 Solving x + 6y + 5z = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. x + 6y + -6y + 5z = 0 + -6y Combine like terms: 6y + -6y = 0 x + 0 + 5z = 0 + -6y x + 5z = 0 + -6y Remove the zero: x + 5z = -6y Add '-5z' to each side of the equation. x + 5z + -5z = -6y + -5z Combine like terms: 5z + -5z = 0 x + 0 = -6y + -5z x = -6y + -5z Simplifying x = -6y + -5zSolution
x = {0, -6y + -5z}
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