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Simplifying
(7 + -1z)(7 + z) = 0
Multiply (7 + -1z) * (7 + z)
(7(7 + z) + -1z * (7 + z)) = 0
((7 * 7 + z * 7) + -1z * (7 + z)) = 0
((49 + 7z) + -1z * (7 + z)) = 0
(49 + 7z + (7 * -1z + z * -1z)) = 0
(49 + 7z + (-7z + -1z2)) = 0
Combine like terms: 7z + -7z = 0
(49 + 0 + -1z2) = 0
(49 + -1z2) = 0
Solving
49 + -1z2 = 0
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-49' to each side of the equation.
49 + -49 + -1z2 = 0 + -49
Combine like terms: 49 + -49 = 0
0 + -1z2 = 0 + -49
-1z2 = 0 + -49
Combine like terms: 0 + -49 = -49
-1z2 = -49
Divide each side by '-1'.
z2 = 49
Simplifying
z2 = 49
Take the square root of each side:
z = {-7, 7}
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