100=(x+2)(x+2)+36

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Solution for 100=(x+2)(x+2)+36 equation: 


Simplifying
100 = (x + 2)(x + 2) + 36

Reorder the terms:
100 = (2 + x)(x + 2) + 36

Reorder the terms:
100 = (2 + x)(2 + x) + 36

Multiply (2 + x) * (2 + x)
100 = (2(2 + x) + x(2 + x)) + 36
100 = ((2 * 2 + x * 2) + x(2 + x)) + 36
100 = ((4 + 2x) + x(2 + x)) + 36
100 = (4 + 2x + (2 * x + x * x)) + 36
100 = (4 + 2x + (2x + x2)) + 36

Combine like terms: 2x + 2x = 4x
100 = (4 + 4x + x2) + 36

Reorder the terms:
100 = 4 + 36 + 4x + x2

Combine like terms: 4 + 36 = 40
100 = 40 + 4x + x2

Solving
100 = 40 + 4x + x2

Solving for variable 'x'.

Combine like terms: 100 + -40 = 60
60 + -4x + -1x2 = 40 + 4x + x2 + -40 + -4x + -1x2

Reorder the terms:
60 + -4x + -1x2 = 40 + -40 + 4x + -4x + x2 + -1x2

Combine like terms: 40 + -40 = 0
60 + -4x + -1x2 = 0 + 4x + -4x + x2 + -1x2
60 + -4x + -1x2 = 4x + -4x + x2 + -1x2

Combine like terms: 4x + -4x = 0
60 + -4x + -1x2 = 0 + x2 + -1x2
60 + -4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
60 + -4x + -1x2 = 0

Factor a trinomial.
(6 + -1x)(10 + x) = 0


Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {6, -10}

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