x^2+4x+4=25(x-2)

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Solution for x^2+4x+4=25(x-2) equation: 


Simplifying
x2 + 4x + 4 = 25(x + -2)

Reorder the terms:
4 + 4x + x2 = 25(x + -2)

Reorder the terms:
4 + 4x + x2 = 25(-2 + x)
4 + 4x + x2 = (-2 * 25 + x * 25)
4 + 4x + x2 = (-50 + 25x)

Solving
4 + 4x + x2 = -50 + 25x

Solving for variable 'x'.

Reorder the terms:
4 + 50 + 4x + -25x + x2 = -50 + 25x + 50 + -25x

Combine like terms: 4 + 50 = 54
54 + 4x + -25x + x2 = -50 + 25x + 50 + -25x

Combine like terms: 4x + -25x = -21x
54 + -21x + x2 = -50 + 25x + 50 + -25x

Reorder the terms:
54 + -21x + x2 = -50 + 50 + 25x + -25x

Combine like terms: -50 + 50 = 0
54 + -21x + x2 = 0 + 25x + -25x
54 + -21x + x2 = 25x + -25x

Combine like terms: 25x + -25x = 0
54 + -21x + x2 = 0

Factor a trinomial.
(3 + -1x)(18 + -1x) = 0


Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18
Solution
x = {3, 18}

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