(7z-u)(7z+5u)=0

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Solution for (7z-u)(7z+5u)=0 equation: 


Simplifying
(7z + -1u)(7z + 5u) = 0

Reorder the terms:
(-1u + 7z)(7z + 5u) = 0

Reorder the terms:
(-1u + 7z)(5u + 7z) = 0

Multiply (-1u + 7z) * (5u + 7z)
(-1u * (5u + 7z) + 7z * (5u + 7z)) = 0
((5u * -1u + 7z * -1u) + 7z * (5u + 7z)) = 0

Reorder the terms:
((-7uz + -5u2) + 7z * (5u + 7z)) = 0
((-7uz + -5u2) + 7z * (5u + 7z)) = 0
(-7uz + -5u2 + (5u * 7z + 7z * 7z)) = 0
(-7uz + -5u2 + (35uz + 49z2)) = 0

Reorder the terms:
(-7uz + 35uz + -5u2 + 49z2) = 0

Combine like terms: -7uz + 35uz = 28uz
(28uz + -5u2 + 49z2) = 0

Solving
28uz + -5u2 + 49z2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-5u + -7z)(u + -7z) = 0


Subproblem 1
Set the factor '(-5u + -7z)' equal to zero and attempt to solve:

Simplifying
-5u + -7z = 0

Solving
-5u + -7z = 0

Move all terms containing u to the left, all other terms to the right.

Add '7z' to each side of the equation.
-5u + -7z + 7z = 0 + 7z

Combine like terms: -7z + 7z = 0
-5u + 0 = 0 + 7z
-5u = 0 + 7z
Remove the zero:
-5u = 7z

Divide each side by '-5'.
u = -1.4z

Simplifying
u = -1.4z

Subproblem 2
Set the factor '(u + -7z)' equal to zero and attempt to solve:

Simplifying
u + -7z = 0

Solving
u + -7z = 0

Move all terms containing u to the left, all other terms to the right.

Add '7z' to each side of the equation.
u + -7z + 7z = 0 + 7z

Combine like terms: -7z + 7z = 0
u + 0 = 0 + 7z
u = 0 + 7z
Remove the zero:
u = 7z

Simplifying
u = 7z
Solution
u = {-1.4z, 7z}

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