(x-8)(2x-5)=0

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Solution for (x-8)(2x-5)=0 equation: 


Simplifying
(x + -8)(2x + -5) = 0

Reorder the terms:
(-8 + x)(2x + -5) = 0

Reorder the terms:
(-8 + x)(-5 + 2x) = 0

Multiply (-8 + x) * (-5 + 2x)
(-8(-5 + 2x) + x(-5 + 2x)) = 0
((-5 * -8 + 2x * -8) + x(-5 + 2x)) = 0
((40 + -16x) + x(-5 + 2x)) = 0
(40 + -16x + (-5 * x + 2x * x)) = 0
(40 + -16x + (-5x + 2x2)) = 0

Combine like terms: -16x + -5x = -21x
(40 + -21x + 2x2) = 0

Solving
40 + -21x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -2x)(8 + -1x) = 0


Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {2.5, 8}

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