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Simplifying (z + -3)(5x + 2y) = 0 Reorder the terms: (-3 + z)(5x + 2y) = 0 Multiply (-3 + z) * (5x + 2y) (-3(5x + 2y) + z(5x + 2y)) = 0 ((5x * -3 + 2y * -3) + z(5x + 2y)) = 0 ((-15x + -6y) + z(5x + 2y)) = 0 (-15x + -6y + (5x * z + 2y * z)) = 0 (-15x + -6y + (5xz + 2yz)) = 0 Reorder the terms: (-15x + 5xz + -6y + 2yz) = 0 (-15x + 5xz + -6y + 2yz) = 0 Solving -15x + 5xz + -6y + 2yz = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. -15x + 5xz + -6y + 6y + 2yz = 0 + 6y Combine like terms: -6y + 6y = 0 -15x + 5xz + 0 + 2yz = 0 + 6y -15x + 5xz + 2yz = 0 + 6y Remove the zero: -15x + 5xz + 2yz = 6y Add '-2yz' to each side of the equation. -15x + 5xz + 2yz + -2yz = 6y + -2yz Combine like terms: 2yz + -2yz = 0 -15x + 5xz + 0 = 6y + -2yz -15x + 5xz = 6y + -2yz Reorder the terms: -15x + 5xz + -6y + 2yz = 6y + -6y + -2yz + 2yz Combine like terms: 6y + -6y = 0 -15x + 5xz + -6y + 2yz = 0 + -2yz + 2yz -15x + 5xz + -6y + 2yz = -2yz + 2yz Combine like terms: -2yz + 2yz = 0 -15x + 5xz + -6y + 2yz = 0 The solution to this equation could not be determined.
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