5x^2-64x+192=0

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Solution for 5x^2-64x+192=0 equation: 


Simplifying
5x2 + -64x + 192 = 0

Reorder the terms:
192 + -64x + 5x2 = 0

Solving
192 + -64x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(24 + -5x)(8 + -1x) = 0


Subproblem 1
Set the factor '(24 + -5x)' equal to zero and attempt to solve:

Simplifying
24 + -5x = 0

Solving
24 + -5x = 0

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

Add '-24' to each side of the equation.
24 + -24 + -5x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -5x = 0 + -24
-5x = 0 + -24

Combine like terms: 0 + -24 = -24
-5x = -24

Divide each side by '-5'.
x = 4.8

Simplifying
x = 4.8

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 = {4.8, 8}

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