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Simplifying 0.583333(x + -4y + -3z) = 0 (x * 0.583333 + -4y * 0.583333 + -3z * 0.583333) = 0 (0.583333x + -2.333332y + -1.749999z) = 0 Solving 0.583333x + -2.333332y + -1.749999z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.333332y' to each side of the equation. 0.583333x + -2.333332y + 2.333332y + -1.749999z = 0 + 2.333332y Combine like terms: -2.333332y + 2.333332y = 0.000000 0.583333x + 0.000000 + -1.749999z = 0 + 2.333332y 0.583333x + -1.749999z = 0 + 2.333332y Remove the zero: 0.583333x + -1.749999z = 2.333332y Add '1.749999z' to each side of the equation. 0.583333x + -1.749999z + 1.749999z = 2.333332y + 1.749999z Combine like terms: -1.749999z + 1.749999z = 0.000000 0.583333x + 0.000000 = 2.333332y + 1.749999z 0.583333x = 2.333332y + 1.749999z Divide each side by '0.583333'. x = 4y + 3z Simplifying x = 4y + 3z
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