(x+2)(x+2)=81

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Solution for (x+2)(x+2)=81 equation: 


Simplifying
(x + 2)(x + 2) = 81

Reorder the terms:
(2 + x)(x + 2) = 81

Reorder the terms:
(2 + x)(2 + x) = 81

Multiply (2 + x) * (2 + x)
(2(2 + x) + x(2 + x)) = 81
((2 * 2 + x * 2) + x(2 + x)) = 81
((4 + 2x) + x(2 + x)) = 81
(4 + 2x + (2 * x + x * x)) = 81
(4 + 2x + (2x + x2)) = 81

Combine like terms: 2x + 2x = 4x
(4 + 4x + x2) = 81

Solving
4 + 4x + x2 = 81

Solving for variable 'x'.

Reorder the terms:
4 + -81 + 4x + x2 = 81 + -81

Combine like terms: 4 + -81 = -77
-77 + 4x + x2 = 81 + -81

Combine like terms: 81 + -81 = 0
-77 + 4x + x2 = 0

Factor a trinomial.
(-11 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve:

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11

Combine like terms: 0 + 11 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

Subproblem 2
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
Solution
x = {-11, 7}

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