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Simplifying 4(3x + 2y + 5z) = 0 (3x * 4 + 2y * 4 + 5z * 4) = 0 (12x + 8y + 20z) = 0 Solving 12x + 8y + 20z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 12x + 8y + -8y + 20z = 0 + -8y Combine like terms: 8y + -8y = 0 12x + 0 + 20z = 0 + -8y 12x + 20z = 0 + -8y Remove the zero: 12x + 20z = -8y Add '-20z' to each side of the equation. 12x + 20z + -20z = -8y + -20z Combine like terms: 20z + -20z = 0 12x + 0 = -8y + -20z 12x = -8y + -20z Divide each side by '12'. x = -0.6666666667y + -1.666666667z Simplifying x = -0.6666666667y + -1.666666667z
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