(10+2x)(20+2x)=336

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Solution for (10+2x)(20+2x)=336 equation: 


Simplifying
(10 + 2x)(20 + 2x) = 336

Multiply (10 + 2x) * (20 + 2x)
(10(20 + 2x) + 2x * (20 + 2x)) = 336
((20 * 10 + 2x * 10) + 2x * (20 + 2x)) = 336
((200 + 20x) + 2x * (20 + 2x)) = 336
(200 + 20x + (20 * 2x + 2x * 2x)) = 336
(200 + 20x + (40x + 4x2)) = 336

Combine like terms: 20x + 40x = 60x
(200 + 60x + 4x2) = 336

Solving
200 + 60x + 4x2 = 336

Solving for variable 'x'.

Reorder the terms:
200 + -336 + 60x + 4x2 = 336 + -336

Combine like terms: 200 + -336 = -136
-136 + 60x + 4x2 = 336 + -336

Combine like terms: 336 + -336 = 0
-136 + 60x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-34 + 15x + x2) = 0

Factor a trinomial.
4((-17 + -1x)(2 + -1x)) = 0

Ignore the factor 4.

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 '(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
Solution
x = {-17, 2}

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