0=-16X^2+368X-2035

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Solution for 0=-16X^2+368X-2035 equation: 


Simplifying
0 = -16X2 + 368X + -2035

Reorder the terms:
0 = -2035 + 368X + -16X2

Solving
0 = -2035 + 368X + -16X2

Solving for variable 'X'.

Combine like terms: 0 + 2035 = 2035
2035 + -368X + 16X2 = -2035 + 368X + -16X2 + 2035 + -368X + 16X2

Reorder the terms:
2035 + -368X + 16X2 = -2035 + 2035 + 368X + -368X + -16X2 + 16X2

Combine like terms: -2035 + 2035 = 0
2035 + -368X + 16X2 = 0 + 368X + -368X + -16X2 + 16X2
2035 + -368X + 16X2 = 368X + -368X + -16X2 + 16X2

Combine like terms: 368X + -368X = 0
2035 + -368X + 16X2 = 0 + -16X2 + 16X2
2035 + -368X + 16X2 = -16X2 + 16X2

Combine like terms: -16X2 + 16X2 = 0
2035 + -368X + 16X2 = 0

Factor a trinomial.
(37 + -4X)(55 + -4X) = 0


Subproblem 1
Set the factor '(37 + -4X)' equal to zero and attempt to solve:

Simplifying
37 + -4X = 0

Solving
37 + -4X = 0

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

Add '-37' to each side of the equation.
37 + -37 + -4X = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -4X = 0 + -37
-4X = 0 + -37

Combine like terms: 0 + -37 = -37
-4X = -37

Divide each side by '-4'.
X = 9.25

Simplifying
X = 9.25

Subproblem 2
Set the factor '(55 + -4X)' equal to zero and attempt to solve:

Simplifying
55 + -4X = 0

Solving
55 + -4X = 0

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

Add '-55' to each side of the equation.
55 + -55 + -4X = 0 + -55

Combine like terms: 55 + -55 = 0
0 + -4X = 0 + -55
-4X = 0 + -55

Combine like terms: 0 + -55 = -55
-4X = -55

Divide each side by '-4'.
X = 13.75

Simplifying
X = 13.75
Solution
X = {9.25, 13.75}

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