(5x+11)(3x+36)=0

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Solution for (5x+11)(3x+36)=0 equation: 


Simplifying
(5x + 11)(3x + 36) = 0

Reorder the terms:
(11 + 5x)(3x + 36) = 0

Reorder the terms:
(11 + 5x)(36 + 3x) = 0

Multiply (11 + 5x) * (36 + 3x)
(11(36 + 3x) + 5x * (36 + 3x)) = 0
((36 * 11 + 3x * 11) + 5x * (36 + 3x)) = 0
((396 + 33x) + 5x * (36 + 3x)) = 0
(396 + 33x + (36 * 5x + 3x * 5x)) = 0
(396 + 33x + (180x + 15x2)) = 0

Combine like terms: 33x + 180x = 213x
(396 + 213x + 15x2) = 0

Solving
396 + 213x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(132 + 71x + 5x2) = 0

Factor a trinomial.
3((12 + x)(11 + 5x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(12 + x)' equal to zero and attempt to solve:

Simplifying
12 + x = 0

Solving
12 + x = 0

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

Add '-12' to each side of the equation.
12 + -12 + x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + x = 0 + -12
x = 0 + -12

Combine like terms: 0 + -12 = -12
x = -12

Simplifying
x = -12

Subproblem 2
Set the factor '(11 + 5x)' equal to zero and attempt to solve:

Simplifying
11 + 5x = 0

Solving
11 + 5x = 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 + 5x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 5x = 0 + -11
5x = 0 + -11

Combine like terms: 0 + -11 = -11
5x = -11

Divide each side by '5'.
x = -2.2

Simplifying
x = -2.2
Solution
x = {-12, -2.2}

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