(c-3)(c-3)=49

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Solution for (c-3)(c-3)=49 equation: 


Simplifying
(c + -3)(c + -3) = 49

Reorder the terms:
(-3 + c)(c + -3) = 49

Reorder the terms:
(-3 + c)(-3 + c) = 49

Multiply (-3 + c) * (-3 + c)
(-3(-3 + c) + c(-3 + c)) = 49
((-3 * -3 + c * -3) + c(-3 + c)) = 49
((9 + -3c) + c(-3 + c)) = 49
(9 + -3c + (-3 * c + c * c)) = 49
(9 + -3c + (-3c + c2)) = 49

Combine like terms: -3c + -3c = -6c
(9 + -6c + c2) = 49

Solving
9 + -6c + c2 = 49

Solving for variable 'c'.

Reorder the terms:
9 + -49 + -6c + c2 = 49 + -49

Combine like terms: 9 + -49 = -40
-40 + -6c + c2 = 49 + -49

Combine like terms: 49 + -49 = 0
-40 + -6c + c2 = 0

Factor a trinomial.
(-4 + -1c)(10 + -1c) = 0


Subproblem 1
Set the factor '(-4 + -1c)' equal to zero and attempt to solve:

Simplifying
-4 + -1c = 0

Solving
-4 + -1c = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1c = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1c = 0 + 4
-1c = 0 + 4

Combine like terms: 0 + 4 = 4
-1c = 4

Divide each side by '-1'.
c = -4

Simplifying
c = -4

Subproblem 2
Set the factor '(10 + -1c)' equal to zero and attempt to solve:

Simplifying
10 + -1c = 0

Solving
10 + -1c = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1c = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1c = 0 + -10
-1c = 0 + -10

Combine like terms: 0 + -10 = -10
-1c = -10

Divide each side by '-1'.
c = 10

Simplifying
c = 10
Solution
c = {-4, 10}

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