(z+7)(z-7)=

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Solution for (z+7)(z-7)= equation:


Simplifying
(z + 7)(z + -7) = 0

Reorder the terms:
(7 + z)(z + -7) = 0

Reorder the terms:
(7 + z)(-7 + z) = 0

Multiply (7 + z) * (-7 + z)
(7(-7 + z) + z(-7 + z)) = 0
((-7 * 7 + z * 7) + z(-7 + z)) = 0
((-49 + 7z) + z(-7 + z)) = 0
(-49 + 7z + (-7 * z + z * z)) = 0
(-49 + 7z + (-7z + z2)) = 0

Combine like terms: 7z + -7z = 0
(-49 + 0 + z2) = 0
(-49 + z2) = 0

Solving
-49 + z2 = 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 + z2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + z2 = 0 + 49
z2 = 0 + 49

Combine like terms: 0 + 49 = 49
z2 = 49

Simplifying
z2 = 49

Take the square root of each side:
z = {-7, 7}

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