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Simplifying (3x + y + -1z)(5) = 0 Reorder the terms for easier multiplication: 5(3x + y + -1z) = 0 (3x * 5 + y * 5 + -1z * 5) = 0 (15x + 5y + -5z) = 0 Solving 15x + 5y + -5z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 15x + 5y + -5y + -5z = 0 + -5y Combine like terms: 5y + -5y = 0 15x + 0 + -5z = 0 + -5y 15x + -5z = 0 + -5y Remove the zero: 15x + -5z = -5y Add '5z' to each side of the equation. 15x + -5z + 5z = -5y + 5z Combine like terms: -5z + 5z = 0 15x + 0 = -5y + 5z 15x = -5y + 5z Divide each side by '15'. x = -0.3333333333y + 0.3333333333z Simplifying x = -0.3333333333y + 0.3333333333z
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