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

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


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

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

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

Multiply (3 + 5x) * (11 + x)
(3(11 + x) + 5x * (11 + x)) = 0
((11 * 3 + x * 3) + 5x * (11 + x)) = 0
((33 + 3x) + 5x * (11 + x)) = 0
(33 + 3x + (11 * 5x + x * 5x)) = 0
(33 + 3x + (55x + 5x2)) = 0

Combine like terms: 3x + 55x = 58x
(33 + 58x + 5x2) = 0

Solving
33 + 58x + 5x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

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

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

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

Simplifying
x = -11

Subproblem 2
Set the factor '(3 + 5x)' equal to zero and attempt to solve:

Simplifying
3 + 5x = 0

Solving
3 + 5x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 0 + -3
5x = 0 + -3

Combine like terms: 0 + -3 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6
Solution
x = {-11, -0.6}

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