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Simplifying 3x(y + -1z) + -2(y + -1z) = 0 (y * 3x + -1z * 3x) + -2(y + -1z) = 0 (3xy + -3xz) + -2(y + -1z) = 0 3xy + -3xz + (y * -2 + -1z * -2) = 0 3xy + -3xz + (-2y + 2z) = 0 Solving 3xy + -3xz + -2y + 2z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 3xy + -3xz + -2y + 2y + 2z = 0 + 2y Combine like terms: -2y + 2y = 0 3xy + -3xz + 0 + 2z = 0 + 2y 3xy + -3xz + 2z = 0 + 2y Remove the zero: 3xy + -3xz + 2z = 2y Add '-2z' to each side of the equation. 3xy + -3xz + 2z + -2z = 2y + -2z Combine like terms: 2z + -2z = 0 3xy + -3xz + 0 = 2y + -2z 3xy + -3xz = 2y + -2z Reorder the terms: 3xy + -3xz + -2y + 2z = 2y + -2y + -2z + 2z Combine like terms: 2y + -2y = 0 3xy + -3xz + -2y + 2z = 0 + -2z + 2z 3xy + -3xz + -2y + 2z = -2z + 2z Combine like terms: -2z + 2z = 0 3xy + -3xz + -2y + 2z = 0 The solution to this equation could not be determined.
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