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Simplifying 5(3x + 4y + z) = 0 (3x * 5 + 4y * 5 + z * 5) = 0 (15x + 20y + 5z) = 0 Solving 15x + 20y + 5z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20y' to each side of the equation. 15x + 20y + -20y + 5z = 0 + -20y Combine like terms: 20y + -20y = 0 15x + 0 + 5z = 0 + -20y 15x + 5z = 0 + -20y Remove the zero: 15x + 5z = -20y Add '-5z' to each side of the equation. 15x + 5z + -5z = -20y + -5z Combine like terms: 5z + -5z = 0 15x + 0 = -20y + -5z 15x = -20y + -5z Divide each side by '15'. x = -1.333333333y + -0.3333333333z Simplifying x = -1.333333333y + -0.3333333333z
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