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Simplifying (2z + -3)(8 + x) = 0 Reorder the terms: (-3 + 2z)(8 + x) = 0 Multiply (-3 + 2z) * (8 + x) (-3(8 + x) + 2z * (8 + x)) = 0 ((8 * -3 + x * -3) + 2z * (8 + x)) = 0 ((-24 + -3x) + 2z * (8 + x)) = 0 (-24 + -3x + (8 * 2z + x * 2z)) = 0 Reorder the terms: (-24 + -3x + (2xz + 16z)) = 0 (-24 + -3x + (2xz + 16z)) = 0 (-24 + -3x + 2xz + 16z) = 0 Solving -24 + -3x + 2xz + 16z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -3x + 2xz + 24 + 16z = 0 + 24 Reorder the terms: -24 + 24 + -3x + 2xz + 16z = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -3x + 2xz + 16z = 0 + 24 -3x + 2xz + 16z = 0 + 24 Combine like terms: 0 + 24 = 24 -3x + 2xz + 16z = 24 Add '-16z' to each side of the equation. -3x + 2xz + 16z + -16z = 24 + -16z Combine like terms: 16z + -16z = 0 -3x + 2xz + 0 = 24 + -16z -3x + 2xz = 24 + -16z Reorder the terms: -24 + -3x + 2xz + 16z = 24 + -16z + -24 + 16z Reorder the terms: -24 + -3x + 2xz + 16z = 24 + -24 + -16z + 16z Combine like terms: 24 + -24 = 0 -24 + -3x + 2xz + 16z = 0 + -16z + 16z -24 + -3x + 2xz + 16z = -16z + 16z Combine like terms: -16z + 16z = 0 -24 + -3x + 2xz + 16z = 0 The solution to this equation could not be determined.
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