(5c+7)(5c-7)=

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Solution for (5c+7)(5c-7)= equation:


Simplifying
(5c + 7)(5c + -7) = 0

Reorder the terms:
(7 + 5c)(5c + -7) = 0

Reorder the terms:
(7 + 5c)(-7 + 5c) = 0

Multiply (7 + 5c) * (-7 + 5c)
(7(-7 + 5c) + 5c * (-7 + 5c)) = 0
((-7 * 7 + 5c * 7) + 5c * (-7 + 5c)) = 0
((-49 + 35c) + 5c * (-7 + 5c)) = 0
(-49 + 35c + (-7 * 5c + 5c * 5c)) = 0
(-49 + 35c + (-35c + 25c2)) = 0

Combine like terms: 35c + -35c = 0
(-49 + 0 + 25c2) = 0
(-49 + 25c2) = 0

Solving
-49 + 25c2 = 0

Solving for variable 'c'.

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

Add '49' to each side of the equation.
-49 + 49 + 25c2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 25c2 = 0 + 49
25c2 = 0 + 49

Combine like terms: 0 + 49 = 49
25c2 = 49

Divide each side by '25'.
c2 = 1.96

Simplifying
c2 = 1.96

Take the square root of each side:
c = {-1.4, 1.4}

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