(x+5)(x+5)-81=0

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Solution for (x+5)(x+5)-81=0 equation: 


Simplifying
(x + 5)(x + 5) + -81 = 0

Reorder the terms:
(5 + x)(x + 5) + -81 = 0

Reorder the terms:
(5 + x)(5 + x) + -81 = 0

Multiply (5 + x) * (5 + x)
(5(5 + x) + x(5 + x)) + -81 = 0
((5 * 5 + x * 5) + x(5 + x)) + -81 = 0
((25 + 5x) + x(5 + x)) + -81 = 0
(25 + 5x + (5 * x + x * x)) + -81 = 0
(25 + 5x + (5x + x2)) + -81 = 0

Combine like terms: 5x + 5x = 10x
(25 + 10x + x2) + -81 = 0

Reorder the terms:
25 + -81 + 10x + x2 = 0

Combine like terms: 25 + -81 = -56
-56 + 10x + x2 = 0

Solving
-56 + 10x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-14 + -1x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve:

Simplifying
-14 + -1x = 0

Solving
-14 + -1x = 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 + -1x = 0 + 14

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

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

Divide each side by '-1'.
x = -14

Simplifying
x = -14

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

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

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

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

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

Simplifying
x = 4
Solution
x = {-14, 4}

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