(x+14)(x+20)=352

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Solution for (x+14)(x+20)=352 equation: 


Simplifying
(x + 14)(x + 20) = 352

Reorder the terms:
(14 + x)(x + 20) = 352

Reorder the terms:
(14 + x)(20 + x) = 352

Multiply (14 + x) * (20 + x)
(14(20 + x) + x(20 + x)) = 352
((20 * 14 + x * 14) + x(20 + x)) = 352
((280 + 14x) + x(20 + x)) = 352
(280 + 14x + (20 * x + x * x)) = 352
(280 + 14x + (20x + x2)) = 352

Combine like terms: 14x + 20x = 34x
(280 + 34x + x2) = 352

Solving
280 + 34x + x2 = 352

Solving for variable 'x'.

Reorder the terms:
280 + -352 + 34x + x2 = 352 + -352

Combine like terms: 280 + -352 = -72
-72 + 34x + x2 = 352 + -352

Combine like terms: 352 + -352 = 0
-72 + 34x + x2 = 0

Factor a trinomial.
(-36 + -1x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-36 + -1x)' equal to zero and attempt to solve:

Simplifying
-36 + -1x = 0

Solving
-36 + -1x = 0

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

Add '36' to each side of the equation.
-36 + 36 + -1x = 0 + 36

Combine like terms: -36 + 36 = 0
0 + -1x = 0 + 36
-1x = 0 + 36

Combine like terms: 0 + 36 = 36
-1x = 36

Divide each side by '-1'.
x = -36

Simplifying
x = -36

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 = {-36, 2}

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