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Simplifying 4(5x + 3y + 2z) = 0 (5x * 4 + 3y * 4 + 2z * 4) = 0 (20x + 12y + 8z) = 0 Solving 20x + 12y + 8z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. 20x + 12y + -12y + 8z = 0 + -12y Combine like terms: 12y + -12y = 0 20x + 0 + 8z = 0 + -12y 20x + 8z = 0 + -12y Remove the zero: 20x + 8z = -12y Add '-8z' to each side of the equation. 20x + 8z + -8z = -12y + -8z Combine like terms: 8z + -8z = 0 20x + 0 = -12y + -8z 20x = -12y + -8z Divide each side by '20'. x = -0.6y + -0.4z Simplifying x = -0.6y + -0.4z
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