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

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


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

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

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

Multiply (-7 + u) * (7 + u)
(-7(7 + u) + u(7 + u)) = 0
((7 * -7 + u * -7) + u(7 + u)) = 0
((-49 + -7u) + u(7 + u)) = 0
(-49 + -7u + (7 * u + u * u)) = 0
(-49 + -7u + (7u + u2)) = 0

Combine like terms: -7u + 7u = 0
(-49 + 0 + u2) = 0
(-49 + u2) = 0

Solving
-49 + u2 = 0

Solving for variable 'u'.

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

Add '49' to each side of the equation.
-49 + 49 + u2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + u2 = 0 + 49
u2 = 0 + 49

Combine like terms: 0 + 49 = 49
u2 = 49

Simplifying
u2 = 49

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

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