(12x-11)(8x-5)=0

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Solution for (12x-11)(8x-5)=0 equation: 


Simplifying
(12x + -11)(8x + -5) = 0

Reorder the terms:
(-11 + 12x)(8x + -5) = 0

Reorder the terms:
(-11 + 12x)(-5 + 8x) = 0

Multiply (-11 + 12x) * (-5 + 8x)
(-11(-5 + 8x) + 12x * (-5 + 8x)) = 0
((-5 * -11 + 8x * -11) + 12x * (-5 + 8x)) = 0
((55 + -88x) + 12x * (-5 + 8x)) = 0
(55 + -88x + (-5 * 12x + 8x * 12x)) = 0
(55 + -88x + (-60x + 96x2)) = 0

Combine like terms: -88x + -60x = -148x
(55 + -148x + 96x2) = 0

Solving
55 + -148x + 96x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -8x)(11 + -12x) = 0


Subproblem 1
Set the factor '(5 + -8x)' equal to zero and attempt to solve:

Simplifying
5 + -8x = 0

Solving
5 + -8x = 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 + -8x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8x = 0 + -5
-8x = 0 + -5

Combine like terms: 0 + -5 = -5
-8x = -5

Divide each side by '-8'.
x = 0.625

Simplifying
x = 0.625

Subproblem 2
Set the factor '(11 + -12x)' equal to zero and attempt to solve:

Simplifying
11 + -12x = 0

Solving
11 + -12x = 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 + -12x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -12x = 0 + -11
-12x = 0 + -11

Combine like terms: 0 + -11 = -11
-12x = -11

Divide each side by '-12'.
x = 0.9166666667

Simplifying
x = 0.9166666667
Solution
x = {0.625, 0.9166666667}

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