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