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

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


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

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

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

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

Combine like terms: 5x + -66x = -61x
(-55 + -61x + 6x2) = 0

Solving
-55 + -61x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -6x)(11 + -1x) = 0


Subproblem 1
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

Subproblem 2
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
Solution
x = {-0.8333333333, 11}

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