(4-3x)(5x+11)=0

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Solution for (4-3x)(5x+11)=0 equation: 


Simplifying
(4 + -3x)(5x + 11) = 0

Reorder the terms:
(4 + -3x)(11 + 5x) = 0

Multiply (4 + -3x) * (11 + 5x)
(4(11 + 5x) + -3x * (11 + 5x)) = 0
((11 * 4 + 5x * 4) + -3x * (11 + 5x)) = 0
((44 + 20x) + -3x * (11 + 5x)) = 0
(44 + 20x + (11 * -3x + 5x * -3x)) = 0
(44 + 20x + (-33x + -15x2)) = 0

Combine like terms: 20x + -33x = -13x
(44 + -13x + -15x2) = 0

Solving
44 + -13x + -15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -3x)(11 + 5x) = 0


Subproblem 1
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333

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 = {1.333333333, -2.2}

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