(11x+5)(6x-5)=0

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Solution for (11x+5)(6x-5)=0 equation: 


Simplifying
(11x + 5)(6x + -5) = 0

Reorder the terms:
(5 + 11x)(6x + -5) = 0

Reorder the terms:
(5 + 11x)(-5 + 6x) = 0

Multiply (5 + 11x) * (-5 + 6x)
(5(-5 + 6x) + 11x * (-5 + 6x)) = 0
((-5 * 5 + 6x * 5) + 11x * (-5 + 6x)) = 0
((-25 + 30x) + 11x * (-5 + 6x)) = 0
(-25 + 30x + (-5 * 11x + 6x * 11x)) = 0
(-25 + 30x + (-55x + 66x2)) = 0

Combine like terms: 30x + -55x = -25x
(-25 + -25x + 66x2) = 0

Solving
-25 + -25x + 66x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -11x)(5 + -6x) = 0


Subproblem 1
Set the factor '(-5 + -11x)' equal to zero and attempt to solve:

Simplifying
-5 + -11x = 0

Solving
-5 + -11x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -11x = 0 + 5

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

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

Divide each side by '-11'.
x = -0.4545454545

Simplifying
x = -0.4545454545

Subproblem 2
Set the factor '(5 + -6x)' equal to zero and attempt to solve:

Simplifying
5 + -6x = 0

Solving
5 + -6x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 0 + -5
-6x = 0 + -5

Combine like terms: 0 + -5 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333
Solution
x = {-0.4545454545, 0.8333333333}

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