196=(x+7)(x+7)

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Solution for 196=(x+7)(x+7) equation: 


Simplifying
196 = (x + 7)(x + 7)

Reorder the terms:
196 = (7 + x)(x + 7)

Reorder the terms:
196 = (7 + x)(7 + x)

Multiply (7 + x) * (7 + x)
196 = (7(7 + x) + x(7 + x))
196 = ((7 * 7 + x * 7) + x(7 + x))
196 = ((49 + 7x) + x(7 + x))
196 = (49 + 7x + (7 * x + x * x))
196 = (49 + 7x + (7x + x2))

Combine like terms: 7x + 7x = 14x
196 = (49 + 14x + x2)

Solving
196 = 49 + 14x + x2

Solving for variable 'x'.

Combine like terms: 196 + -49 = 147
147 + -14x + -1x2 = 49 + 14x + x2 + -49 + -14x + -1x2

Reorder the terms:
147 + -14x + -1x2 = 49 + -49 + 14x + -14x + x2 + -1x2

Combine like terms: 49 + -49 = 0
147 + -14x + -1x2 = 0 + 14x + -14x + x2 + -1x2
147 + -14x + -1x2 = 14x + -14x + x2 + -1x2

Combine like terms: 14x + -14x = 0
147 + -14x + -1x2 = 0 + x2 + -1x2
147 + -14x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
147 + -14x + -1x2 = 0

Factor a trinomial.
(7 + -1x)(21 + x) = 0


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

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

Subproblem 2
Set the factor '(21 + x)' equal to zero and attempt to solve:

Simplifying
21 + x = 0

Solving
21 + x = 0

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

Add '-21' to each side of the equation.
21 + -21 + x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + x = 0 + -21
x = 0 + -21

Combine like terms: 0 + -21 = -21
x = -21

Simplifying
x = -21
Solution
x = {7, -21}

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