(3+x)(5+2x)=136

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Solution for (3+x)(5+2x)=136 equation: 


Simplifying
(3 + x)(5 + 2x) = 136

Multiply (3 + x) * (5 + 2x)
(3(5 + 2x) + x(5 + 2x)) = 136
((5 * 3 + 2x * 3) + x(5 + 2x)) = 136
((15 + 6x) + x(5 + 2x)) = 136
(15 + 6x + (5 * x + 2x * x)) = 136
(15 + 6x + (5x + 2x2)) = 136

Combine like terms: 6x + 5x = 11x
(15 + 11x + 2x2) = 136

Solving
15 + 11x + 2x2 = 136

Solving for variable 'x'.

Reorder the terms:
15 + -136 + 11x + 2x2 = 136 + -136

Combine like terms: 15 + -136 = -121
-121 + 11x + 2x2 = 136 + -136

Combine like terms: 136 + -136 = 0
-121 + 11x + 2x2 = 0

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


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 '(11 + -2x)' equal to zero and attempt to solve:

Simplifying
11 + -2x = 0

Solving
11 + -2x = 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 + -2x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = 0 + -11
-2x = 0 + -11

Combine like terms: 0 + -11 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5
Solution
x = {-11, 5.5}

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