(x+7)(x+7)-49=0

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Solution for (x+7)(x+7)-49=0 equation: 


Simplifying
(x + 7)(x + 7) + -49 = 0

Reorder the terms:
(7 + x)(x + 7) + -49 = 0

Reorder the terms:
(7 + x)(7 + x) + -49 = 0

Multiply (7 + x) * (7 + x)
(7(7 + x) + x(7 + x)) + -49 = 0
((7 * 7 + x * 7) + x(7 + x)) + -49 = 0
((49 + 7x) + x(7 + x)) + -49 = 0
(49 + 7x + (7 * x + x * x)) + -49 = 0
(49 + 7x + (7x + x2)) + -49 = 0

Combine like terms: 7x + 7x = 14x
(49 + 14x + x2) + -49 = 0

Reorder the terms:
49 + -49 + 14x + x2 = 0

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

Solving
14x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(14 + x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(14 + x)' equal to zero and attempt to solve:

Simplifying
14 + x = 0

Solving
14 + x = 0

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

Add '-14' to each side of the equation.
14 + -14 + x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + x = 0 + -14
x = 0 + -14

Combine like terms: 0 + -14 = -14
x = -14

Simplifying
x = -14
Solution
x = {0, -14}

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