210=(x+2)(x+3)

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Solution for 210=(x+2)(x+3) equation: 


Simplifying
210 = (x + 2)(x + 3)

Reorder the terms:
210 = (2 + x)(x + 3)

Reorder the terms:
210 = (2 + x)(3 + x)

Multiply (2 + x) * (3 + x)
210 = (2(3 + x) + x(3 + x))
210 = ((3 * 2 + x * 2) + x(3 + x))
210 = ((6 + 2x) + x(3 + x))
210 = (6 + 2x + (3 * x + x * x))
210 = (6 + 2x + (3x + x2))

Combine like terms: 2x + 3x = 5x
210 = (6 + 5x + x2)

Solving
210 = 6 + 5x + x2

Solving for variable 'x'.

Combine like terms: 210 + -6 = 204
204 + -5x + -1x2 = 6 + 5x + x2 + -6 + -5x + -1x2

Reorder the terms:
204 + -5x + -1x2 = 6 + -6 + 5x + -5x + x2 + -1x2

Combine like terms: 6 + -6 = 0
204 + -5x + -1x2 = 0 + 5x + -5x + x2 + -1x2
204 + -5x + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
204 + -5x + -1x2 = 0 + x2 + -1x2
204 + -5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
204 + -5x + -1x2 = 0

Factor a trinomial.
(12 + -1x)(17 + x) = 0


Subproblem 1
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

Subproblem 2
Set the factor '(17 + x)' equal to zero and attempt to solve:

Simplifying
17 + x = 0

Solving
17 + x = 0

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

Add '-17' to each side of the equation.
17 + -17 + x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + x = 0 + -17
x = 0 + -17

Combine like terms: 0 + -17 = -17
x = -17

Simplifying
x = -17
Solution
x = {12, -17}

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