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Simplifying 3(2x + 5y + -4z) = 0 (2x * 3 + 5y * 3 + -4z * 3) = 0 (6x + 15y + -12z) = 0 Solving 6x + 15y + -12z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15y' to each side of the equation. 6x + 15y + -15y + -12z = 0 + -15y Combine like terms: 15y + -15y = 0 6x + 0 + -12z = 0 + -15y 6x + -12z = 0 + -15y Remove the zero: 6x + -12z = -15y Add '12z' to each side of the equation. 6x + -12z + 12z = -15y + 12z Combine like terms: -12z + 12z = 0 6x + 0 = -15y + 12z 6x = -15y + 12z Divide each side by '6'. x = -2.5y + 2z Simplifying x = -2.5y + 2z
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