(x+2)*(2*x)=198

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Solution for (x+2)*(2*x)=198 equation: 


Simplifying
(x + 2)(2x) = 198

Reorder the terms:
(2 + x)(2x) = 198

Remove parenthesis around (2x)
(2 + x) * 2x = 198

Reorder the terms for easier multiplication:
2x(2 + x) = 198
(2 * 2x + x * 2x) = 198
(4x + 2x2) = 198

Solving
4x + 2x2 = 198

Solving for variable 'x'.

Reorder the terms:
-198 + 4x + 2x2 = 198 + -198

Combine like terms: 198 + -198 = 0
-198 + 4x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-99 + 2x + x2) = 0

Factor a trinomial.
2((-11 + -1x)(9 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

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

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

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-11, 9}

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