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Simplifying (3z + -1)(x + 7) = 0 Reorder the terms: (-1 + 3z)(x + 7) = 0 Reorder the terms: (-1 + 3z)(7 + x) = 0 Multiply (-1 + 3z) * (7 + x) (-1(7 + x) + 3z * (7 + x)) = 0 ((7 * -1 + x * -1) + 3z * (7 + x)) = 0 ((-7 + -1x) + 3z * (7 + x)) = 0 (-7 + -1x + (7 * 3z + x * 3z)) = 0 Reorder the terms: (-7 + -1x + (3xz + 21z)) = 0 (-7 + -1x + (3xz + 21z)) = 0 (-7 + -1x + 3xz + 21z) = 0 Solving -7 + -1x + 3xz + 21z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -1x + 3xz + 7 + 21z = 0 + 7 Reorder the terms: -7 + 7 + -1x + 3xz + 21z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x + 3xz + 21z = 0 + 7 -1x + 3xz + 21z = 0 + 7 Combine like terms: 0 + 7 = 7 -1x + 3xz + 21z = 7 Add '-21z' to each side of the equation. -1x + 3xz + 21z + -21z = 7 + -21z Combine like terms: 21z + -21z = 0 -1x + 3xz + 0 = 7 + -21z -1x + 3xz = 7 + -21z Reorder the terms: -7 + -1x + 3xz + 21z = 7 + -21z + -7 + 21z Reorder the terms: -7 + -1x + 3xz + 21z = 7 + -7 + -21z + 21z Combine like terms: 7 + -7 = 0 -7 + -1x + 3xz + 21z = 0 + -21z + 21z -7 + -1x + 3xz + 21z = -21z + 21z Combine like terms: -21z + 21z = 0 -7 + -1x + 3xz + 21z = 0 The solution to this equation could not be determined.
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