66=(x+7)(x+2)

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Solution for 66=(x+7)(x+2) equation: 


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

Reorder the terms:
66 = (7 + x)(x + 2)

Reorder the terms:
66 = (7 + x)(2 + x)

Multiply (7 + x) * (2 + x)
66 = (7(2 + x) + x(2 + x))
66 = ((2 * 7 + x * 7) + x(2 + x))
66 = ((14 + 7x) + x(2 + x))
66 = (14 + 7x + (2 * x + x * x))
66 = (14 + 7x + (2x + x2))

Combine like terms: 7x + 2x = 9x
66 = (14 + 9x + x2)

Solving
66 = 14 + 9x + x2

Solving for variable 'x'.

Combine like terms: 66 + -14 = 52
52 + -9x + -1x2 = 14 + 9x + x2 + -14 + -9x + -1x2

Reorder the terms:
52 + -9x + -1x2 = 14 + -14 + 9x + -9x + x2 + -1x2

Combine like terms: 14 + -14 = 0
52 + -9x + -1x2 = 0 + 9x + -9x + x2 + -1x2
52 + -9x + -1x2 = 9x + -9x + x2 + -1x2

Combine like terms: 9x + -9x = 0
52 + -9x + -1x2 = 0 + x2 + -1x2
52 + -9x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
52 + -9x + -1x2 = 0

Factor a trinomial.
(4 + -1x)(13 + x) = 0


Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

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

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(13 + x)' equal to zero and attempt to solve:

Simplifying
13 + x = 0

Solving
13 + x = 0

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

Add '-13' to each side of the equation.
13 + -13 + x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + x = 0 + -13
x = 0 + -13

Combine like terms: 0 + -13 = -13
x = -13

Simplifying
x = -13
Solution
x = {4, -13}

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