25x^2-200x+384=0

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Solution for 25x^2-200x+384=0 equation: 


Simplifying
25x2 + -200x + 384 = 0

Reorder the terms:
384 + -200x + 25x2 = 0

Solving
384 + -200x + 25x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(16 + -5x)(24 + -5x) = 0


Subproblem 1
Set the factor '(16 + -5x)' equal to zero and attempt to solve:

Simplifying
16 + -5x = 0

Solving
16 + -5x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -5x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = 0 + -16
-5x = 0 + -16

Combine like terms: 0 + -16 = -16
-5x = -16

Divide each side by '-5'.
x = 3.2

Simplifying
x = 3.2

Subproblem 2
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
Solution
x = {3.2, 4.8}

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