(x+4)(x+2)=195

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Solution for (x+4)(x+2)=195 equation: 


Simplifying
(x + 4)(x + 2) = 195

Reorder the terms:
(4 + x)(x + 2) = 195

Reorder the terms:
(4 + x)(2 + x) = 195

Multiply (4 + x) * (2 + x)
(4(2 + x) + x(2 + x)) = 195
((2 * 4 + x * 4) + x(2 + x)) = 195
((8 + 4x) + x(2 + x)) = 195
(8 + 4x + (2 * x + x * x)) = 195
(8 + 4x + (2x + x2)) = 195

Combine like terms: 4x + 2x = 6x
(8 + 6x + x2) = 195

Solving
8 + 6x + x2 = 195

Solving for variable 'x'.

Reorder the terms:
8 + -195 + 6x + x2 = 195 + -195

Combine like terms: 8 + -195 = -187
-187 + 6x + x2 = 195 + -195

Combine like terms: 195 + -195 = 0
-187 + 6x + x2 = 0

Factor a trinomial.
(-17 + -1x)(11 + -1x) = 0


Subproblem 1
Set the factor '(-17 + -1x)' equal to zero and attempt to solve:

Simplifying
-17 + -1x = 0

Solving
-17 + -1x = 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 + -1x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -1x = 0 + 17
-1x = 0 + 17

Combine like terms: 0 + 17 = 17
-1x = 17

Divide each side by '-1'.
x = -17

Simplifying
x = -17

Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 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 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-17, 11}

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