36=(x+2)(x+7)

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Solution for 36=(x+2)(x+7) equation: 


Simplifying
36 = (x + 2)(x + 7)

Reorder the terms:
36 = (2 + x)(x + 7)

Reorder the terms:
36 = (2 + x)(7 + x)

Multiply (2 + x) * (7 + x)
36 = (2(7 + x) + x(7 + x))
36 = ((7 * 2 + x * 2) + x(7 + x))
36 = ((14 + 2x) + x(7 + x))
36 = (14 + 2x + (7 * x + x * x))
36 = (14 + 2x + (7x + x2))

Combine like terms: 2x + 7x = 9x
36 = (14 + 9x + x2)

Solving
36 = 14 + 9x + x2

Solving for variable 'x'.

Combine like terms: 36 + -14 = 22
22 + -9x + -1x2 = 14 + 9x + x2 + -14 + -9x + -1x2

Reorder the terms:
22 + -9x + -1x2 = 14 + -14 + 9x + -9x + x2 + -1x2

Combine like terms: 14 + -14 = 0
22 + -9x + -1x2 = 0 + 9x + -9x + x2 + -1x2
22 + -9x + -1x2 = 9x + -9x + x2 + -1x2

Combine like terms: 9x + -9x = 0
22 + -9x + -1x2 = 0 + x2 + -1x2
22 + -9x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
22 + -9x + -1x2 = 0

Factor a trinomial.
(2 + -1x)(11 + x) = 0


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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 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 + x = 0 + -11

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

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

Simplifying
x = -11
Solution
x = {2, -11}

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