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Simplifying (5z + -3)(x + -4y) = 0 Reorder the terms: (-3 + 5z)(x + -4y) = 0 Multiply (-3 + 5z) * (x + -4y) (-3(x + -4y) + 5z * (x + -4y)) = 0 ((x * -3 + -4y * -3) + 5z * (x + -4y)) = 0 ((-3x + 12y) + 5z * (x + -4y)) = 0 (-3x + 12y + (x * 5z + -4y * 5z)) = 0 (-3x + 12y + (5xz + -20yz)) = 0 Reorder the terms: (-3x + 5xz + 12y + -20yz) = 0 (-3x + 5xz + 12y + -20yz) = 0 Solving -3x + 5xz + 12y + -20yz = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. -3x + 5xz + 12y + -12y + -20yz = 0 + -12y Combine like terms: 12y + -12y = 0 -3x + 5xz + 0 + -20yz = 0 + -12y -3x + 5xz + -20yz = 0 + -12y Remove the zero: -3x + 5xz + -20yz = -12y Add '20yz' to each side of the equation. -3x + 5xz + -20yz + 20yz = -12y + 20yz Combine like terms: -20yz + 20yz = 0 -3x + 5xz + 0 = -12y + 20yz -3x + 5xz = -12y + 20yz Reorder the terms: -3x + 5xz + 12y + -20yz = -12y + 12y + 20yz + -20yz Combine like terms: -12y + 12y = 0 -3x + 5xz + 12y + -20yz = 0 + 20yz + -20yz -3x + 5xz + 12y + -20yz = 20yz + -20yz Combine like terms: 20yz + -20yz = 0 -3x + 5xz + 12y + -20yz = 0 The solution to this equation could not be determined.
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