(x+4)(x+4)=225

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Solution for (x+4)(x+4)=225 equation: 


Simplifying
(x + 4)(x + 4) = 225

Reorder the terms:
(4 + x)(x + 4) = 225

Reorder the terms:
(4 + x)(4 + x) = 225

Multiply (4 + x) * (4 + x)
(4(4 + x) + x(4 + x)) = 225
((4 * 4 + x * 4) + x(4 + x)) = 225
((16 + 4x) + x(4 + x)) = 225
(16 + 4x + (4 * x + x * x)) = 225
(16 + 4x + (4x + x2)) = 225

Combine like terms: 4x + 4x = 8x
(16 + 8x + x2) = 225

Solving
16 + 8x + x2 = 225

Solving for variable 'x'.

Reorder the terms:
16 + -225 + 8x + x2 = 225 + -225

Combine like terms: 16 + -225 = -209
-209 + 8x + x2 = 225 + -225

Combine like terms: 225 + -225 = 0
-209 + 8x + x2 = 0

Factor a trinomial.
(-19 + -1x)(11 + -1x) = 0


Subproblem 1
Set the factor '(-19 + -1x)' equal to zero and attempt to solve:

Simplifying
-19 + -1x = 0

Solving
-19 + -1x = 0

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

Add '19' to each side of the equation.
-19 + 19 + -1x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -1x = 0 + 19
-1x = 0 + 19

Combine like terms: 0 + 19 = 19
-1x = 19

Divide each side by '-1'.
x = -19

Simplifying
x = -19

Subproblem 2
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
Solution
x = {-19, 11}

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