(8x-5)(3x-11)=0

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Solution for (8x-5)(3x-11)=0 equation: 


Simplifying
(8x + -5)(3x + -11) = 0

Reorder the terms:
(-5 + 8x)(3x + -11) = 0

Reorder the terms:
(-5 + 8x)(-11 + 3x) = 0

Multiply (-5 + 8x) * (-11 + 3x)
(-5(-11 + 3x) + 8x * (-11 + 3x)) = 0
((-11 * -5 + 3x * -5) + 8x * (-11 + 3x)) = 0
((55 + -15x) + 8x * (-11 + 3x)) = 0
(55 + -15x + (-11 * 8x + 3x * 8x)) = 0
(55 + -15x + (-88x + 24x2)) = 0

Combine like terms: -15x + -88x = -103x
(55 + -103x + 24x2) = 0

Solving
55 + -103x + 24x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -8x)(11 + -3x) = 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 + -3x)' equal to zero and attempt to solve:

Simplifying
11 + -3x = 0

Solving
11 + -3x = 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 + -3x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = 0 + -11
-3x = 0 + -11

Combine like terms: 0 + -11 = -11
-3x = -11

Divide each side by '-3'.
x = 3.666666667

Simplifying
x = 3.666666667
Solution
x = {0.625, 3.666666667}

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